Exponential Growth Functions

Question 1

What is true of the given function?

Revolt · Accepted Answer

B: The function increases at a constant multiplicative rate.

Question 2

Question 2

Revolt · Accepted Answer

3

Question 3

Which graph represents the function f(x) =(2)x?

Revolt · Accepted Answer

A: [Image: On a coordinate plane, an exponential function has...]

Question 4

The given graph represents the function f(x) = 2(5)x. How will the appearance of the graph change if the a value in the function is decreased, but remains greater than 0?

Revolt · Accepted Answer

C: The graph will show an initial value that is lower on the y-axis.

Question 5

Which statements are true of the function f(x) = 3(2.5)x? Check all that apply.The function is exponential.The initial value of the function is 2.5.The function increases by a factor of 2.5 for each unit increase in x.The domain of the function is all real numbers.The range of the function is all real numbers greater than 3.

Revolt · Accepted Answer

A: The function is exponential.; C: The function increases by a factor of 2.5 for each unit increase in x.; D: The domain of the function is all real numbers.

Question 6

A population of 240 birds increases at a rate of 16% annually. Jemel writes an exponential function of the form f(x) = abx to represent the number of birds after x years. Which values should she use for a and b?

Revolt · Accepted Answer

: 240; : 1.16

Question 7

A population of 240 birds increases at a rate of 16% annually. Jemel writes an exponential function of the form f(x) = abx to represent the number of birds after x years. Which values should she use for a and b?

Revolt · Accepted Answer

: 240; : 1.16

Question 8

Leticia invests $200 at 5% interest. If y represents the amount of money after x time periods, which describes the graph of the exponential function relating time and money?

Revolt · Accepted Answer

A: The initial value of the graph is 200. The graph increases by a factor of 1.05 per 1 unit increase in time.

Question 9

A colony contains 1500 bacteria. The population increases at a rate of 115% each hour. If x represents the number of hours elapsed, which function represents the scenario?

Revolt · Accepted Answer

C: f(x) = 1500(2.15)x

Question 10

In exponential growth functions, the base of the exponent must be greater than 1. How would the function change if the base of the exponent were 1? How would the function change if the base of the exponent were between 0 and 1?

Revolt · Accepted Answer

If the base of the exponent were 1, the function would remain constant and the graph would be a horizontal line. If the base of the exponent were less than 1 but greater than 0, the function would be decreasing (exponential decay). For the function to represent exponential growth, the base must be greater than 1.

Exponential Growth Functions Answers

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