Exponential Decay Functions

Question 1

The table represents an exponential function.

Revolt · Accepted Answer

Two-thirds

Question 2

The table represents an exponential function.

Revolt · Accepted Answer

0.5

Question 3

The table represents an exponential function.

Revolt · Accepted Answer

One-fifth

Question 4

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 5

Which graph represents exponential decay?

Revolt · Accepted Answer

On a coordinate plane, a graph approaches y = 0 in quadrant 1 and curves up into quadrant 2.

Question 6

Which is the graph of f(x) = 100(0.7)x?

Revolt · Accepted Answer

On a coordinate plane, a curve approaches y = 0 in quadrant 1 and curves up into quadrant 2. It goes through (2, 49) and (0, 100).

Question 7

Terrence buys a new car for $20,000. The value of the car depreciates by 15% each year. If f(x) represents the value of the car after x years, which function represents the car’s value?

Revolt · Accepted Answer

f(x) = 20,000(0.85)x

Question 8

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

Revolt · Accepted Answer

0.4

Question 9

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

Exponential Decay Functions Answers

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