Exponential Decay Functions

Question 1

Hal is asked to write an exponential function to represent the value of a $10,000 investment decreasing at 2% annually. What multiplicative rate of change should Hal use in his function?

Revolt · Accepted Answer

0.98

Question 2

The table represents an exponential function.

Revolt · Accepted Answer

0.5

Question 3

Which is an exponential decay function?

Revolt · Accepted Answer

f start bracket x end bracket equals Three-halves start bracket Eight-sevenths end bracket superscript negative x

Question 4

What is the multiplicative rate of change for the exponential function f(x) = ?

Revolt · Accepted Answer

0.4

Question 5

A population of bacteria is treated with an antibiotic. It is estimated that 5,000 live bacteria existed in the sample before treatment. After each day of treatment, 40% of the sample remains alive. Which best describes the graph of the function that represents the number of live bacteria after x days of treatment?

Revolt · Accepted Answer

f(x) = 5000(0.4)x, with a horizontal asymptote of y = 0

Question 6

Chelsea is graphing the function f(x) = 20()x. She begins by plotting the initial value. Which graph represents her first step?

Revolt · Accepted Answer

On a coordinate plane, the point (0, 20) is graphed.

Question 7

Which are true of the function f(x) = 49? Select three options.The domain is the set of all real numbers. The range is the set of all real numbers. The domain is x > 0.The range is y > 0.As x increases by 1, each y-value is one-seventh of the previous y-value.

Revolt · Accepted Answer

The domain is the set of all real numbers.; The range is y > 0.; As x increases by 1, each y-value is one-seventh of the previous y-value.

Question 8

The table represents an exponential function.

Revolt · Accepted Answer

One-fifth

Exponential Decay Functions Answers

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