Exponential Growth Functions Answers

What is true of the given function?The function increases at a constant additive rate.The function increases at a constant multiplicative rate.The function has an initial value of 0.As each x value increases by 1, the y values increase by 1.

[___]

Question text not available

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?The graph will increase at a slower rate.The graph will show a decreasing, rather than increasing, function.The graph will show an initial value that is lower on the y-axis.The graph will increase at a constant additive rate, rather than a multiplicative rate.

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.

a = [___]

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?The initial value of the graph is 200. The graph increases by a factor of 1.05 per 1 unit increase in time.The initial value of the graph is 200. The graph increases by a factor of 5 per 1 unit increase in time.The initial value of the graph is 500. The graph increases by a factor of 2 per 1 unit increase in time.The initial

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?f(x) = 1500(1.15)x f(x) = 1500(115)xf(x) = 1500(2.15)xf(x) = 1500(215)x

What is true of the given function?

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

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?

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.

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 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?

Sample Response: If the base of the exponent were 1, the function would remain constant. 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.

Question text not available

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?

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?

Question text not available