Middle School Math (5164) - Functions

Mrs. Park asked her students to determine if the following mapping diagram represents a function. Which of the following would be an appropriate student response to show they have mastered the content? ("Yes, the relationship is a function because each input has exactly one output.") ("No, the relation is not a function because there are a different number of x-values and) ("Yes, it is a function because every value in the range has at least one value from the domain mapped to it.") ("No, it is not a function because there are repeated y-values.")

"Yes, the relationship is a function because each input has exactly one output."

The table shows the cost of carrots at two different grocery stores in town. Grocery Store #1 Grocery Store #2 Number of Pounds Total Cost Number of Pounds Total Cost 3 $2.64 4 $3.64 5 $4.40 6 $5.46 9 $7.92 8 $7.28 If a recipe requires 7 pounds of carrots, how much money will be saved by shopping at the less expensive store? ($0.88) ($6.37) ($0.21) ($6.16)

$0.21

Each year as a fundraiser, Angela's scout troop produces and sells tie-dye shirts. Short-sleeved shirts sell for $22 and long-sleeved shirts sell for $30. Last year, Angela's troop sold 35 short-sleeved shirts and 18 long-sleeved shirts. This year they sold 27 short-sleeved shirts and 25 long-sleeved shirts. What is the difference in profit between the two years? ($102) ($34) ($50) ($8)

$34

Every year, Tamera puts 15% of the amount of her income that exceeds $20,000 in a savings account, and the rest of her income goes into her checking account. If she put $37,000 into her checking account last year, what were her total earnings for that year? ($57,000) ($54,000) ($40,000) ($43,530)

$40,000

What is the lowest point on the parabola defined by y = 2x² + 3x - 5? ((-3/4, 6 1/8)) ((-1,-6)) ((0,-5)) ((-0.75,-6.125))

(-0.75,-6.125)

The function f is defined by f(x) = -x^2 - 3 for all real numbers x. Which of the following intervals represents the range of f? ((-∞, -3]) ((-∞, 3]) ([-3, ∞)) ([3, ∞))

(-∞, -3]

The graph is a representation of the following situation: Marty purchased a car for $24,000; this included all interest, tax, and title fees. She made payments of $500 per month for 48 months until the car was paid off. What ordered pair would best represent point A at the top of the graph? ((24000,0)) ((0,24000)) ((0,48)) ((48,0))

(0, 24000)

What is the highest point of the graph of f (x) = - (x - 2)² + 3? ((2, -3)) ((0, 3)) ((-2, 3)) ((2, 3))

(2, 3)

Which of the following represents the x-intercept and the y-intercept of the graph of the equation 3x - 4y = 12 in the xy-plane? ((-4, 0) and (0, 3)) ((-3, 0) and (0, 4)) ((3, 0) and (0, -4)) ((4, 0) and (0, -3))

(4, 0) and (0, -3)

Which of the following equations does not represent a function? ((x, y) : ∣y∣ = x³) ((x, y) : y³ = x) ((x, y) : y = x³) ((x, y) : y³ = x³)

(x, y) : ∣y∣ = x³

Isabella is creating a function by making a table of values. So far, her table looks as follows: x y -1 5 4 3 0 -6 ? 7 If inserted into the blank in the table, which value of x would invalidate her function? (-1) (1) (7) (3)

-1

The table below shows selected x and y values for a linear function. What is the y-intercept of the function? x 4 7 9 y 13 31 43 (0) (6) (-11) (-5)

-11

The graph of y = g (x) is above. For this line, what is the value of g(-6) - g(6)? (-20) (8) (12) (-12)

-12

The graph of h(x) is above. For this line, what is the value of h(7) - h(-7)? (0) (-14) (-40) (14)

-14

For the equation, 8x + 4y = 2, what is the slope of the line? (8) (-1/2) (-2) (2)

-2

Let f (x) = (x + 60) (x - 130) (x + 210) (x - 85). A teacher demonstrates how to use a graphing calculator to find and view all of the x-intercepts of the function f in the xy-plane. Which of the following bounds on x is best for viewing the function and all of the x-intercepts? (-130 ≤ x ≤ 210) (-100 ≤ x ≤ 100) (-225 ≤ x ≤ 150) (-10,000 ≤ x ≤ 10,000)

-225 ≤ x ≤ 150

The graph of the function f (x) is shown. For what value(s) of x does f (x) = 1? (-2) (None) (0, 1, and 2) (-4, -1, and 4)

-4, -1, and 4

Which of the following best models the set of data from the linear relationship listed in the table below? x -3 -1 2 4 5 y -15 -7 5 13 17 (-4x - y = 2) (-4x + y = -3) (4x - y = 5) (4x + y = 13)

-4x + y = -3

In the past several years, the number of students enrolled at a local university has decreased by 14% each year. Currently, there are 23,562 students enrolled. If this trend continues, how many students will be enrolled in 5 years? (20,263) (11,084) (16,493) (3,299)

11,084

The graph shows the relationship between the number of hours that the Torres' babysitter watches their children and the amount of money that the Torres family owes the babysitter. According to this graph, how many dollars per hour does the Torres family pay their babysitter? ($12.50) ($150.00) ($8.00) ($25.00)

12.5

Mr. McDahl has planned a day of independent work for his English students when they next have a substitute teacher. One-third of the students choose to work on an essay. One-half of the remaining students choose to read. The remaining 5 students work on vocabulary. How many students are present in the class on that day? (15) (24) (30) (18)

15

Given the function f (x) = 4x² - 3x + 6, find f (2). (64) (28) (-8) (16)

16

What is the y-coordinate of the point on the line drawn when x = 125? (175) (105) (135) (140)

175

Evaluate the function, f (a, b) = 2a² - 1/2ab, when a = 4 and b = 7. (2) (46) (18) (84)

18

Find the x-coordinate of the vertex of the quadratic f(x) = 3x² - 4x + 7. (-2/3) (3) (7) (2/3)

2/3

The graph of y = f (x) is above. For this line, what is the value of f(10) - f(-10)? (-100) (-96) (20) (-4)

20

Use the graph below to answer the following question. What is the value of x, when y = -39? (44) (45) (28) (27)

28

The graph shows the approximate population of the United States beginning in 1970. Assuming the population trend continued in the same manner, what would be a reasonable estimation for what the population of the United States was in 2010? (270 million people) (290 million people) (260 million people) (250 million people)

290 million people

Which of the following is the equation of the line in the xy-plane that passes through the points (-4,-7) and (-6,-8)? (y - 2x = 4) (2y - x = -10) (2y + x = -18) (y + 2x = 1)

2y - x = -10

The graph shows the amount of rain that fell in the state of Maryland over a 24-hour period. What is the best description of the rate the rain fell over this period? (7/3 inch/hour) (-3/7 inch/hour) (1 inch/hour) (3/7 inch/hour)

3/7 inch/hour

The median home cost in the US in 1975 was $40,000. In 1990, an equivalent home cost $140,000. The trend continued into 2005 when the median home cost in the US was approximately $240,000. Assuming that this data's relationship is steady in the future, what is a reasonable estimate of the median home cost in the US in 2025? ($400,000) ($340,000) ($440,000) ($373,333)

373333

What is the equation in standard form of the line containing the points (2,-5) and (-3,10)? (y - 3x = 1) (3x + y = 1) (y = -3x + 1) (y - 1 = -3x)

3x + y = 1

Which of the following is the equation of the line with slope 3 and y-intercept -4, written in standard form? (y = 3x - 4) (3x + y = -4) (3x - y = 4) (y = 3x + 4)

3x - y = 4

If f(x) = -x^2 - 2x + 4, what is the value of f (-2)? (-4) (-2) (4) (12)

4

What is the slope of the line below? (4/3) (-4/3) (-2) (3/4)

4/3

What is the slope of the line containing the points (-2, 4) and (3, 8)? (1/4) (5/4) (4/5) (2/5)

4/5

On June 1, a tomato plant is 3 cm tall and a kale plant is 5 cm tall. If the tomato plant grows 1.5 cm each day and the kale grows 0.5 cm each day, which of the following is the difference in height of the plants on August 1? (59 cm) (62 cm) (63 cm) (58 cm)

59 cm

In January, Jim enrolled in a new gym membership this year which required a $50 membership fee and a $70 monthly fee. In April, Jim wrote an equation in the form y = mx + b to find the total amount he has spent on his gym membership so far that year. What is the meaning of the $70 monthly fee in his equation? (70 is the y-intercept of the line) (70 is the x-intercept of the line) (70 is the slope of the line) (70 is the total amount he has spent this year)

70 is the slope of the line

Use the table below to answer the following question. x 3 6 12 y 18 36 c If y varies directly with x, what is the value of c? (78) (54) (72) (144)

72

If the pattern continues, what figure comes next in the sequence? (a triangle with 6 dots) (a triangle with 20 dots) (a triangle with 21 dots) (a triangle with 28 dots)

A triangle with 21 dots

The emphasis on function families promotes which of the following into students? (insights into the characteristics of graphs) (links to prior learning) (tools for problem solving) (all of the above)

All of the above

Two painting companies charge for work completed with a linear equation, where C is Total Cost and t is time in hours worked. Company A charges C = 150 + 80t while company B charges C = 300 + 40t. For 0 ≤ t ≤ 20, which of the following statements is true? (Company B charges more initially and charges more per hour.) (Company B charges more initially, but charges less per hour.) (Company A charges more initially and charges more per hour.) (Company A charges more initially, but charges less per hour.)

Company B charges more initially, but charges less per hour.

Which of the following best explains why the statement below is a function? The maximum temperature for each day of the month of May in a given year. (It is unlikely that two days in a row will have the same maximum temperature.) (The maximum temperature will vary only a little from day to day.) (Each day will have only one maximum temperature.) (The maximum temperature will increase by a set amount each day.)

Each day will have only one maximum temperature.

Which of the following describes why the statement below describes a function? Every ice hockey player on a team is assigned a shoe size. (Each player has a unique jersey number.) (Each player will only have one value for their shoe size.) (The chance that two players have the same shoe size is small.) (It is easy to determine the shoe size.)

Each player will only have one value for their shoe size.

Sal says an example of a function would be to graph GPAs for each student in his school. Which of the following explanations best describes why this scenario is a function? (The GPA of each student can be easily calculated.) (Each student will only have one value for their GPA.) (Each student has a student number.) (It is unlikely that two students will have the exact same GPA.)

Each student will only have one value for their GPA.

A teacher gives the following scenario to her students and says, "After reading the prompt carefully, do your best to find an answer to the problem and use either symbols or words to describe the pattern." Which of the following math skills is the teacher working to develop? In the springtime, birds lay eggs in their nests, and Rakeem starts to find nests in his trees. The first nest has 5 eggs. Each nest after that has two more eggs than the last nest. How many total bird eggs will be in the 7th nest? (analyzing shapes to create subtraction sentences) (explaining and predicting addition sequences) (applying and explaining double facts) (identifying and summarizing counting by 5)

Explaining and predicting addition sequences

The rate of change of the chlorine concentration in a swimming pool is proportional to the amount of chlorine present in the pool. When water is added to the pool to offset evaporation, the amount of chlorine will become diluted. Which of the following types of functions would best model the concentration of chlorine in the swimming pool? (quadratic) (linear) (exponential) (radical)

Exponential

Which of the following function families would best represent the data below? Time (hrs) 1 3 5 7 9 11 Volume (m3) 3.1 14.3 63.7 285.8 1281 5741.2 (exponential) (logarithmic) (linear) (polynomial)

Exponential

In September of 2010, the Sunday circulation of the Dallas Morning News fell to 373,815. This was a 4.3 percent decrease from the same period a year ago. If this rate continues, the Sunday circulation of the Dallas Morning News is likely to fall below 314,000 in four years. This change in circulation is an example of which of the following? (exponential growth) (linear decay) (exponential decay) (linear growth)

Exponential decay

Rob drives a taxi. He calculates the fare, f, with the formula, 0.75m + $5.00, where m is miles traveled. What does the ordered pair (10, 12.5) mean in the context of the real world? (For a 10-mile trip, the fare will be $7.50.) (For a 16-mile trip, the fare will be $12.50.) (For a 12.5-mile trip, the fare will be $10.00.) (For a 10-mile trip, the fare will be $12.50.)

For a 10-mile trip, the fare will be $12.50.

The table above shows x and y values that have a linear relationship to each other. Which of the graphs below could illustrate the relationship between these variables? x 1 4 7 10 13 y 9 3 -3 -9 -15 (Graph A) (Graph B) (Graph C) (Graph D)

Graph C

A light display for a festival consists of a string of 1,000 lightbulbs in the colors red, yellow, green, and blue repeated consecutively in that order for the entire display. The 543rd lightbulb needs to be replaced. If the first lightbulb is red, what is the color of the lightbulb that needs to be replaced? (Red) (Yellow) (Green) (Blue)

Green

A teacher has her students graph multiple linear equations with the same slope, and then record their observations about the equations and graphs. Which of the following goals is the teacher most likely to achieve? (monitor students' understanding of slope as rise over run.) (facilitate students practicing graphing linear equations.) (have students connect that all linear equations make a straight line when graphed.) (have students connect the relationship between equations with the same slope and parallel lines)

Have students connect the relationship between equations with the same slope and parallel lines

Henry is responsible for purchasing fruit for the local bakery. He looks up produce prices online at two farmer's markets to find the best prices, and purchases all produce from one market. At Maple Farmer's Market, apples cost $3.50 per pound and pears cost $4.75 per pound. Hillside Farmer's Market sells apples for $5.25 per pound and pears for $2.75 per pound. If the bakery needs 5 pounds of apples and 6 pounds of pears for their pies, which farmer's market should he purchase the fruit from and how much money will he save? (Maple, $0.50 savings) (Hillside, $3.25 savings) (Hillside, $42.75 savings) (Maple, $3.25 savings)

Hillside, $3.25 savings

The formula for the volume of a cylinder is V = πr²h, where r is the radius of the base and h is the height. What is the volume of a cylinder with a radius of 5 and height of 12? (V = 300π) (V = 720π) (V = 60π) (V = 3600π)

V = 300π

Which of the following activities would be best for an algebra student to develop a linear relationship from data?

Weigh an empty beaker and record the weight. Add 5 ml of water, weigh again, and record the amount of water in the beaker and the weight. Continue with this process until 10 measures and weights have been taken and recorded. Graph the results.

Which of the following best explains why the statement below is not a function? The letter grades received on homework assignments, based on the number of minutes spent on the assignment. (Working on two assignments for the same amount of time could result in different letter grades.) (The longer a student works on an assignment, the higher their grade.) (Each assignment receives only a single grade.) (Only a limited number of letter grades are possible, for example: A, B, C, D, and F.)

Working on two assignments for the same amount of time could result in different letter grades.

Evaluate the formula when b = 3 and c = 1/2. a = 2bc² (a = 3/2) (a = 6) (a = 3) (a = 9)

a = 3/2

If f(x) = 4x² + 1 and g(x) = ax² + b, for which of the following real values of a and b is the graph of g(x) below the graph of f(x), when graphed on the same coordinate axes, for all values of x? (a ≥ 4 and b < 1) (a ≤ 4 and b > 1) (a ≤ 4 and b < 1) (a ≥ 4 and b > 1)

a ≤ 4 and b < 1

If f(x) = 6x² + 5 and g(x) = ax² + b, for which of the following describes all of the real values of a and b that will make the graph of g(x) lower on the coordinate axes than the graph of f(x) for all values of x? (a ≤ 6 and b < 5) (a > 6 and b < 5) (a > 6 and b < 5) (a ≥ 6 and b > 5)

a ≤ 6 and b < 5

If f(x) = 10x² and g(x) = ax² + b, for which of the following real values of a and b is the graph of g(x) above the graph of f(x) on the coordinate axes for all values of x? (a ≤ 10 and b is negative) (a ≥ 10 and b is positive) (a ≤ 10 and b is positive) (a ≥ 10 and b is negative)

a ≥ 10 and b is positive

If f(x) = 2x² and g(x) = ax² + b, for which of the following real values of a and b is the graph of g(x) always above the graph of f(x)? (a ≤ 2 and b < 0) (a ≤ 2 and b > 0) (a ≥ 2 and b > 0) (a ≥ 2 and b < 0)

a ≥ 2 and b > 0

Which of the following equations, when graphed, will contain the ordered pair (1, 1)? Select all answers that apply. (y = x - 2) (y = -3x - 5) (y = -1/3x - 5/3) (y = x) (y = -2x² + 3) (y = x²)

y = x, y = -2x² + 3, y = x²

Given the information in the table shown, which of the following is another representation of the same information? x 3 2 -4 0 1 y 6 1 13 -3 -2 (y = x² - 3) (y = 5x - 3) (y = 2x - 1) (y = x² - 1)

y = x² - 3

The following figure shows line ℓ in the xy-plane. Line k (not shown) is perpendicular to line ℓ. Which of the following statements could be true? Select ALL that apply. (The slope of line k is less than 0.) (The x-intercept of line k is less than 0.) (The y-intercept of line k is less than 0.)

The x-intercept of line k is less than 0., The y-intercept of line k is less than 0.

Which of the following equations represents the graph? (y = 3/4x - 3) (y = 4/3x - 3) (y = -3/4x + 3) (y = -4/3x + 3)

y = 4/3x - 3

Four students correctly stated that the slope of the line in the following xy−plane is 1, but they gave different explanations of how they found their answers. Which of the following student explanations provide evidence of a mathematically valid strategy for determining the slope of the line? Select ALL that apply. (I used rise over run. The rise is 1 minus 6 and the run is -2 minus -3, so the slope is -5 over -5, and that is 1.) (I started at the point (6, 1) and went down 3 and then to the left 3, so the slope is -3 divided by -3, which is equal to 1.) (You can always go up 1 and to the right 1 to go from one point on the graph to another point on the graph, so the slope is 1.) (I subtracted 1 minus -2 to get the change in y, and then I subtracted 6 minus 3 to get the change in x, and then I divided the change in y by the change in x and I got 1.)

I started at the point (6, 1) and went down 3 and then to the left 3, so the slope is -3 divided by -3, which is equal to 1., You can always go up 1 and to the right 1 to go from one point on the graph to another point on the graph, so the slope is 1., I subtracted 1 minus -2 to get the change in y, and then I subtracted 6 minus 3 to get the change in x, and then I divided the change in y by the change in x and I got 1.

Use the coordinate plane below to answer the question that follows. The graph of a line with equation y=mx+b, where m is a negative constant and b is a positive constant, has points in which of the four quadrants above? (I, II, and III) (I, II, and IV) (II, III, and IV) (I, III, and IV)

I, II, and IV

Which of the following statements about the relation shown in the table is true? (This relation is NOT a function because noodles are used in both soup and stroganoff.) (This relation is a function because the outputs are meals and the inputs are ingredients.) (This relation is a function because the inputs all match the meals correctly.) (This relation is NOT a function because soup can be made with noodles or with rice.)

This relation is NOT a function because noodles are used in both soup and stroganoff.

Which of the following is a model of exponential growth? (y = 41(2.3)^x) (y = 41(2/3)^x) (y = 41(0.92)^x) (y = 41 + 2.3x)

y = 41(2.3)^x

Which of the following best explains why the statement below is NOT a function? Student ID numbers graphed according to the students' birthdays. (Multiple students may have the same birthday.) (Student numbers represent discrete, not continuous, values.) (Each student has only one birthday per year.) (Some days of the year will have no student birthdays.)

Multiple students may have the same birthday.

For her trip to the Grand Canyon, Trish will need to rent a car for sightseeing. Two reputable companies and their prices are shown in the chart below. Base rent Cost per mile Rental Company A $200 $0.15 Rental Company B $175 $0.25 Trish estimates she will drive 800 miles over the course of her trip. Which of the following is true for the cost of Trish's rental? (Rental Company B is $25 less than Rental Company A.) (Rental Company B is always cheaper than Rental Company A.) (Rental Company B will cost $55 less than Rental Company A.) (Rental Company A will cost $55 less than Rental Company B.)

Rental Company A will cost $55 less than Rental Company B.

Which of the following functions is linear and discrete? (The cost in dollars is a function of the number of soft pretzels bought at $4.00 a pretzel.) (The weight of a puppy is a function of time.) (The number of goals scored in a soccer season is a function of the number of games played.) (The number of calories consumed is a function of the number of grams of spaghetti eaten.)

The cost in dollars is a function of the number of soft pretzels bought at $4.00 a pretzel.

A teacher is selecting examples to illustrate linear functions. Which of the following examples best illustrates the function f(x) = mx, where m is a constant? (The volume of water in a tank after being drained at a constant rate for x minutes) (The amount of material needed for a circular parachute that has a radius of x feet) (The distance traveled by light in x seconds when traveling at 186,282 miles per second) (The number of bacteria in a culture after x hours when the number of bacteria is increasing at a constant percent rate per hour)

The distance traveled by light in x seconds when traveling at 186,282 miles per second

Which of the following statements is true about the equation 2x² + 2x + 5 = 0? (The equation has two complex solutions.) (The equation has one real solution and one complex solution.) (The equation has two real solutions.) (The equation has no solutions.)

The equation has two complex solutions.

During a unit on functions, Mr. Thompson asks his students to create a profit model of the following scenario. Nora makes bracelets to sell to her classmates. She spent $60 on supplies for the bracelets, and she sells each bracelet for $2. One student, Brianna, creates the following model to relate the number of bracelets Nora sold and the amount of money Nora made from selling the bracelets. Mr. Thompson says that Brianna did a good job with her model overall, but there is something about it that is not exactly right. He asks the class to describe what the problem with the model is. Which of the following student responses best describes the problem with Brianna's model?

The graph is on both sides of the y-axis. The graph should start at the y-axis and go to the right.

Which of the following situations is continuous, but not linear? (The pounds of turkey consumed is a function of the number of people at dinner.) (The profit from a water park is a function of the number of people who attend each day.) (The height of a giraffe is a function of their age over their lifetime.) (The number of calories consumed is a function of the number of grams of ice cream consumed.)

The height of a giraffe is a function of their age over their lifetime.

Which of the following situations is both linear and continuous? (The height of a child is a function of their age throughout childhood.) (The number of calories consumed is a function of the number of grams of cereal eaten.) (The number of points scored over a basketball season is a function of the number of games played.) (The total cost in dollars of purchasing slices of pizza is a function of the number of slices of pizza for $1.50 a slice.)

The number of calories consumed is a function of the number of grams of cereal eaten.

Which of the following statements is true about the relation below? (The relation is NOT a function because an input connects to more than one output.) (The relation is NOT a function because the inputs and outputs are not numerical.) (The relation is a function because each input connects to at least one output.) (The relation is a function because each output connects to at least one input.)

The relation is NOT a function because an input connects to more than one output.

Which of the following statements is true about the relation below? (The relation is NOT a function because each input maps to only one output.) (The relation is a function because each input maps to only one output.) (The relation is a function because each input maps to an output with the same sign.) (The relation is NOT a function because functions only involve positive numbers.)

The relation is a function because each input maps to only one output.

Which of the following statements about the relation shown in the table is true? (The relation is NOT a function because the pattern of inputs and outputs switches between the second and third row.) (The relation is NOT a function because the inputs relate to the outputs by the same multiplier.) (The relation is a function because the data is numerical.) (The relation is a function because each input value aligns with only one output value.)

The relation is a function because each input value aligns with only one output value.

Which of the following best describes the graph below? (The relation is a function because it passes the horizontal line test.) (The relation is not a function because it fails the vertical line test.) (The relation is not a function because it fails the horizontal line test.) (The relation is a function because it passes the vertical line test.)

The relation is a function because it passes the vertical line test.

Which of the following best describes the table below? Input Output -2 -4 0 2 1 2 3 4 4 6 (The table does not represent a function because there are missing values in the input column.) (The table represents a function because each input has one unique output.) (The table does not represent a function because there are repeat output values.) (The table represents a function because it spans negative and positive values.)

The table represents a function because each input has one unique output.

The functions f (x) = 3x - 2 and g (x) = -1/2x + 4 are defined for all values of x in the real number system and graphed on the same coordinate plane. Which of the following statements is false? (The x-intercept of f(x) is greater than the x-intercept of g(x)) (g(x) intersects the y-axis at a higher point on the graph than f(x)) (f(x) is steeper than g(x)) (f(x) and g(x) will intersect exactly once)

The x-intercept of f(x) is greater than the x-intercept of g(x)

Which of the following functions is represented by the graph, shown? (f (x) = 2 (3^x)) (f (x) = 6^x) (f (x) = 3 (2^x)) (f (x) = 3^x + 2)

f (x) = 3 (2^x)

A teacher is planning a unit on linear graphs. Which of the following is the parent function for the family of linear functions? (f (x) = x + 2) (f (x) = x) (f (x) = 2x + 1) (f (x) = x²)

f (x) = x

The number of bacteria in a culture doubled every hour. The culture started with 10 bacteria. Which of the following functions models the number of bacteria in the culture after t hours? (f(t) = 10t) (f(t) = 10 + 2t) (f(t) = 10^t) (f(t) = 10(2)^t)

f(t) = 10(2)^t

Which of the following functions increases over its entire domain? (f(x) = x^2) (f(x) = x^3 - 4x) (f(x) = -2x + 5) (f(x) = √(x + 2))

f(x) = √(x + 2)

After a blizzard, Joe tracks the height of the snow day by day. He gathers the following data: Day 0 1 2 3 Height of Snow (inches) 24 20 16 12 Given that the snow melts at a constant rate, which of the following equations can be used to model the height of the snow, h, to the days since the storm, d? (d = 12h + 12) (d = 24h) (h = 24 - 4d) (h = 24 + 4d)

h = 24 - 4d

Given y = (x + 6)² - 4, what is the axis of symmetry of the graph? (x = -3) (x = -6) (y = 1/24) (y = 6)

x = -6

Which of the following is an equation of the graph of the quadratic function shown in the preceding xy-plane? (y = x^2 - 4x + 1) (y = (x - 1)^2 - 4) (y = -x^2 + 4x + 1) (y = -(x - 1)^2 + 4)

y = -(x - 1)^2 + 4

Which of the following is the equation for the curve in the graph shown? (y = 1/2(x - 1)² + 4) (y = 1/2(x + 1)² + 4) (y = 2(x + 1)² + 4) (y = (x - 1)² + 4)

y = 1/2(x + 1)² + 4

A culture begins with 15 bacteria. The bacteria grows by 12% every hour. Which of the following functions can be used to find the number of bacteria in the culture at time, t? (y = 15(1.12)^t) (y = 15(0.12)^t) (y = 15(0.88)^t) (y = 15 + 12t)

y = 15(1.12)^t

Where will the function f (x) = 2(x - 1) + 4 cross the y-axis? (y = 2) (y = -1) (y = 3) (y = 4)

y = 2

Which of the following equations are linear? Select all answers that apply. (y = 3) (y = -(1/3)x - (5/3)) (y = -3x - 5) (y = x²) (y = -2x³ + 3) (y = x - 2)

y = 3, y = -(1/3)x - (5/3), y = -3x - 5, y = x - 2

What equation describes the linear relationship shown in the table? x 2 6 9 12 7 7 19 28 37 (y = 3x + 1) (y + 3x = 1) (y = 2.5x) (y + 1 = 3x)

y = 3x + 1

Which of the following equations is written in slope-intercept form? (x = 3y + 5) (3y - 5x = 10) (y = 3x + 5) (y + 5 = 3x)

y = 3x + 5

What is the correct equation of the line depicted on the graph below? (y = 3x - 3) (y = 3x + 1) (y = 1/3x - 3) (y = 1/3x + 1)

y = 3x - 3