Algebra 2b (2020)
The function that represents the depreciation value of Rhonda's car is C(t)=25,000(0.751)^t. What was the initial value of Rhonda's car at the moment she bought it?
$25,000
What is the initial value of the function? (-3,4) (2,0) (1,-2) (0,-3)
-3
What is the horizontal asymptote of the function f(x)=2^x−5? Enter your answer as a number, like this: 42
-5
Select all true statements about the function. (0,0) (1,2) (2,8)
-As x approaches −∞, f(x) approaches −1, and as x approaches ∞, f(x) approaches ∞. -Domain: (−∞,∞) Range: (−1,∞)
What is the domain and range of the function f(x)=2(5)^x+3? Select two answer choices: one for the domain and one for the range.
-Range: (3,∞) -Domain: (−∞,∞)
What is the domain and range of the function? Select two answers: one for the domain and one for the range. (-3,11) (-2,7) (0,4)
-Range: (3,∞) -Domain: (−∞,∞)
What is the domain and range of the function f(x)=3(13)^x−1? Select two answer choices: one for the domain and one for the range.
-Range: (−1,∞) -Domain: (−∞,∞)
What is the domain and range of the function? Select two answers: one for the domain and one for the range.
-Range: (−4,∞) -Domain: (−∞,∞)
Certain bacteria can grow in extreme temperatures, including temperatures below 0∘ Celsius. The relationship between the temperature and the rate of bacteria growth is shown in the graph. The x-values show the degrees, in Celsius, and the y-values show growth rate in multiples per hour. Use the graph to answer the question. Which statements are true? Select all that apply.
-The growth rate of the bacteria will always be greater than 2 multiples per hour. -The horizontal asymptote of the function is y=2.
Which of the following statements are true about the function f(x)=3(0.95)^x−5? Select all that apply.
-The range is (−5,∞). -The horizontal asymptote is −5. -The function is decreasing.
What is the initial value of the function f(x)=9(23)^x+4? Enter your answer as a number, like this: 42
13
Hot tea is cooling in a room that has a temperature of 72∘ Fahrenheit. The equation that represents this model is f(x)=109(0.935)^t+72, where t represents the number of minutes that pass. What was the starting temperature of the tea?
181∘
What is the initial value of the function? (-3,11) (-2,7) (0,4)
4
Which statement correctly describes the end behavior of the function? (3,11) (2,7) (1,5) (0,4)
As x approaches −∞, f(x) approaches 3, and as x approaches ∞, f(x) approaches ∞.
Nick started a landscaping company. The function that represents the number of clients Nick has is C(t)=3(2)^t, where C is the number of clients, and t represents time in months. Which statement is true?
The horizontal asymptote is y=0, but it does not mean anything in this situation because Nick starts his company with 3 clients.
Checkpoint 1 ↓↓ Which graph is the correct representation of the function f(x)=4⋅3x−2?
Use mathway.com it'll show you the exact graph....
A city zoo decided to start a new exhibit for prairie dogs. When the exhibit opened, they had 2 prairie dogs. Since then, the population of prairie dogs has tripled each year. This can be represented by the exponential function f(x)=2⋅3^x. Which graph shows the increasing population of prairie dogs?
Use mathway.com it'll show you the exact graph.... (0,2) (1,6) (2,18)
Which graph is the correct representation of the function f(x)=2⋅3^x+4?
Use mathway.com it'll show you the exact graph.... -Answer is an increasing exponential passing (0, 6)
Which graph is the correct representation of the function f(x) = 2 * 0.5^x - 5?
Use mathway.com it'll show you the exact graph.... -Answer is decreasing exponential graph will point (0, -3)
Suppose James has a credit card with a balance of $4,289. Each month, the credit card company charges 5% interest. James pays off all new purchases that he makes each month without paying off the old balance or its interest. He wants to know what the balance on his credit card will be one year from now. Is this situation an example of exponential growth or exponential decay?
exponential growth
Which function will have a graph that decreases?
f(x) = 1.25(0.3)^x + 7
Which function will have a graph that increases?
f(x)=2(4)^x+6
Which function has a horizontal asymptote equal to 2?
f(x)=4⋅3^x+2
The general form of an exponential equation is y=ab^x+k. What is the general form of the following equation?
y=17⋅9^x+4
What is the horizontal asymptote of the function? (3,11) (2,7) (1,5) (0,4)
y=3
The general form of an exponential equation is y=ab^x+k. What is the general form of the following equation? y+1=(3^x+1)^2
y=9(9x)−1
What is the horizontal asymptote of the function? (-2,15) (0,0)
y=−1
