AnswersCommon Core Algebra I B-ICExponential Growth Functions

Exponential Decay Functions Answers

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1
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Which are true of the function f(x) = 49? Select three options.

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A
The domain is the set of all real numbers.
B
The range is the set of all real numbers.
C
The domain is x > 0.
D
The range is y > 0.
E
As x increases by 1, each y-value is one-seventh of the previous y-value.
2
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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?

A
f(x) = 20,000(0.85)x
B
f(x) = 20,000(0.15)x
C
f(x) = 20,000(1.15)x
D
f(x) = 20,000(1.85)x
3

The table represents an exponential function.

Question illustration
A
One-fifth
Option A
B
Two-fifths
Option B
C
2
D
5
4

The table represents an exponential function.

Question illustration
A
One-third
Option A
B
Two-thirds
Option B
C
2
D
9
5

Which is an exponential decay function?

A
f start bracket x end bracket equals Three-fourths start bracket Seven-fourths end bracket superscript x
Option A
B
f start bracket x end bracket equals two-third start bracket Four-fifths end bracket superscript negative x
Option B
C
f start bracket x end bracket equals Three-halves start bracket Eight-sevenths end bracket superscript negative x
Option C
D
f start bracket x end bracket equals one-third start bracket negative nine-halves end bracket superscript x
Option D

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