Exponential Growth Functions

Question 1

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

Revolt · Accepted Answer

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

Question 2

Question 2

Revolt · Accepted Answer

1.16

Question 3

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

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

Question 4

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

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

Question 5

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 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

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

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

Question 8

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

f(x) = 1500(2.15)x

Exponential Growth Functions Answers

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