Exponential Decay Functions

Question 1

Which function represents exponential decay?f(x) = (2)xf(x) = ()xf(x) = 3()xf(x) = 2()x

Revolt · Accepted Answer

f(x) = 2()x

Question 2

What did you include in your response? Check all that apply.

Revolt · Accepted Answer

The graphs are reflections of each other over the y-axis.; The g(x) function represents exponential decay.; The f(x) function represents exponential growth.

Question 3

d = [___]

Revolt · Accepted Answer

3

Question 4

Which graph represents exponential decay?

Revolt · Accepted Answer

[Image: On a coordinate plane, a curve approaches y = 0 in...]

Question 5

Which statements describe the function f(x) = 3()x? Check all that apply.Each successive output is the previous output divided by 3.As the domain values increase, the range values decrease. The graph of the function is linear, decreasing from left to right.Each successive output is the previous output multiplied by 3.The range of the function is all real numbers greater than 0. The domain of the function is all real numbers greater than 0.

Revolt · Accepted Answer

Each successive output is the previous output divided by 3.; As the domain values increase, the range values decrease.; The range of the function is all real numbers greater than 0.

Question 6

Which function represents the given graph?f(x) = 100 · ()xf(x) = (100 · )xf(x) = 100 + xf(x) = 100 · ()x

Revolt · Accepted Answer

f(x) = 100 · ()x

Question 7

Which graph represents the function f(x) = ()–x

Revolt · Accepted Answer

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

Question 8

a = [___]

Revolt · Accepted Answer

77442; 77443; 1500

Question 9

A farmer estimates that he has 9,000 bees producing honey on his farm. The farmer becomes concerned when he realizes the population of bees seems to be decreasing steadily at a rate of 5% per year. If the number of bees in the population after x years is represented by f(x), which statements about the situation are true? Check all that apply.The function f(x) = 9,000(1.05)x represents the situation. The function f(x) = 9,000(0.95)x represents the situation. After 2 years, the farmer can estimate

Revolt · Accepted Answer

The function f(x) = 9,000(0.95)x represents the situation.; After 2 years, the farmer can estimate that there will be about 8,120 bees remaining.; The range values, in the context of the situation, are limited to whole numbers.

Question 10

How do the graphs of the functions f(x) = ()x and g(x) = ()x compare?

Revolt · Accepted Answer

The graphs of f(x) = (3/2)^x and g(x) = (2/3)^x are reflections of each other over the y-axis. The function f(x) represents exponential growth because the base 3/2 is greater than 1, while g(x) represents exponential decay because the base 2/3 is between 0 and 1. Both functions have the same y-intercept at (0, 1).

Exponential Decay Functions Answers

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