Algebra 1B Unit 2 Lesson 7

Which table of values represents the exponential function f(x)=0.1x−4?

(-1,6) (0,-3) (1,-3.9) (2,-3.99)

Which table of values represents the exponential function f(x)=(1/5)x?

(-2,25) (-1,5) (0,1) (1,1/5) (2,1/25)

What is the horizontal asymptote of the function f(x)=2x−5? Enter your answer as a number, like this: 42

-5

If the number of bacteria on the surface of your phone triples every hour and can be described with the exponential function f(x)=1,000⋅3x, complete the blank in the table of values to show how much bacteria is on your phone after 4 hours. (1,3000) (2,9000) (3,27000) (4,blank)

81000

As time, t, passes, the concentration of organisms in a seawater sample is modeled by the function: C(t)=0.80(1.2)t. Which of the following statements is supported by the behavior of C(t)?

According to C(t) ,the concentration of organisms will increase over time.

Study the following graphs. Graph A: https://assets.learnosity.com/organisations/625/asset/media/1043030 Graph B: https://assets.learnosity.com/organisations/625/asset/media/1043031 Which statement is true about the graphs?

Both graphs have the same horizontal asymptotes.

Compare the following functions f(x) and g(x). https://assets.learnosity.com/organisations/625/asset/media/1155277 https://assets.learnosity.com/organisations/625/asset/media/1155278 Which function increases at a faster rate?

The function f(x) increases at a faster rate.

Two paintings both have a current value of $15,000. The estimated value of each painting over the next five years is shown in the following table. (0, 15000, 15,000) (1, 15750, 15300) (2, 16538, 15606) (3, 17364, 159181) (4, 18233, 16236) (5, 19144, 16561) Which of the following statements describes the value of Painting A relative to the value of Painting B over the next five years?

The value of Painting A grows by a larger constant percent rate per year than Painting B.

Consider the graphs of the following exponential functions. Graph A: https://assets.learnosity.com/organisations/625/asset/media/1155274 Graph B: https://assets.learnosity.com/organisations/625/asset/media/1155275 What is the difference between the horizontal asymptotes in Graph A and Graph B?

They have a difference of 5 units.

Use the following graph of an exponential function to answer the question. https://assets.learnosity.com/organisations/625/asset/media/1080970 Which statements show that the function grows by equal factors, where r represents the growth rate? There is more than one correct answer. Select all that apply.

When the coordinates (0,1) and (1,7) are considered, r=7/1=7. When the coordinates (2,49) and (1,7) are considered, r=49/7=7.

Consider the following graph of an exponential function modeling the geometric sequence 1,3,9,27,.... https://assets.learnosity.com/organisations/625/asset/media/1155279 Which of the following statements are valid based on the graph? (r represents the growth factor of the function.) Select all correct answer choices.

When the coordinates (0,1) and (−1,1/3) are considered, r=1 1/3=3. When the coordinates (1,3) and (2,9) are considered, r=9/3=3. When the coordinates (3,27) and (2,9) are considered, r=27/9=3.

Suppose that ff is an exponential function such that f(x)=4⋅2x. Which answer shows that this exponential function grows by equal factors over equal intervals?

f(4)÷f(3)=f(7)÷f(6)

Compare the following functions f(x) and g(x). f(x)=2⋅5x−5 https://assets.learnosity.com/organisations/625/asset/media/1155276 Which function increases at a faster rate?

f(x) increases at a faster rate.

Which function will have a graph that decreases?

f(x)=1.25⋅0.3x+7

Which function has a horizontal asymptote equal to 2?

f(x)=4⋅3x+2

Compare the following exponential functions: f(x) ,g(x), and h(x). f(x)=−4⋅2x+3 (-1,0.2) (0,1) (1,5) (2,25) https://assets.learnosity.com/organisations/625/asset/media/1043055 Which function increases at the fastest rate?

g(x)

How does the exponential function f(x)=2⋅3x+4 appear as a graph?

https://assets.learnosity.com/organisations/625/asset/media/1042439

Which answer shows the graph of the function f(x)=2⋅0.5x−5?

https://assets.learnosity.com/organisations/625/asset/media/1155269

Consider the following exponential functions. f(t)=25,000(0.751)t g(t)=36,000(0.718)t h(t)=15,000(0.705)t j(t)=56,000(0.782)t Which function has the greatest growth factor?

j(t)

Following are input-output tables for exponential functions. (1,8) (2,16) (3,32) (4,64) (3,1) (4,4) (5,16) (6,64) (5,81) (6,243) (7,729) (8,2187) Compare the values in each table. Which function increases at the fastest rate?

g(x)

Sketch the graph of the exponential function f(x)=3x−3. Which graph is the correct representation of the function?

https://assets.learnosity.com/organisations/625/asset/media/1155280