U7 Exponential Functions - L1 Exponential Growth Functions

Which graph represents the function f(x)=3/2(2)^x?

D

What is the multiplicative rate of change for the exponential function graphed to the left? (Graph w/ a point on (0,2) )

3

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?

C. f(x) = 1500(2.15)^x

Which statements are true of the function f(x) = 3(2.5)x? Check all that apply.

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

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?

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

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?

Include in response: *If the base were 1, the function would be constant. *If the base were 1, the graph would be a horizontal line. *If the base were between 0 and 1, the function would be decreasing.

A table representing the function f(x) = 2 is shown below. What is true of the given function?

B. The function increases at a constant multiplicative rate.

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?

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

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

a = 240 b = 1.16