AnswersHigh School Math 2 AExponential Growth Functions

Chapter 6 Part 2 Unit TEST: Exponential Functions Answers

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1
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Which is a shrink of an exponential growth function?

A
f(x) = (3)x
Option A
B
f(x) = 3(3)x
C
f(x) =
Option C
D
f(x) =
Option D
2
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Which is the initial value that shrinks an exponential growth function by 50%?

A
One-fifth
Option A
B
One-fourth
Option B
C
One-third
Option C
D
One-half
Option D
3

Which is the graph of ?

Question illustration
A
Option
B
Option
C
Option
D
Option
4

Which best describes the range of the function f(x) = 2 after it has been reflected over the y-axis?

Question illustration
A
all real numbers
B
all real numbers less than 0
C
all real numbers greater than 0
D
all real numbers less than or equal to 0
5

An account is opened with $7,595.96 with a rate of increase of 2% per year. After 1 year, the bank account contains $7,746.90. Assuming no deposits or withdrawals are made, which equation can be used to find y, the amount of money in the account after x years? (Round money values to the nearest penny.)

A
y = 7,746.90(1.02)x
B
y = 7,746.90(0.02)x
C
y = 7,595.96(1.02)x
D
y = 7,595.96(0.02)x
6

Which equation represents the function f(x) = (1.6)x after it has been translated 5 units up and 9 units to the right?

A
g(x) = (1.6)x + 5 − 9
B
g(x) = (1.6)x + 5 + 9
C
g(x) = (1.6)x − 9 + 5
D
g(x) = (1.6)x + 9 + 5
7

Which is the graph of g(x) = – 2?

Question illustration
A
On a coordinate plane, an exponential function decreases from quadrant 2 into quadrant 1 and approaches y = 0. It crosses the y-axis at (0, 2.25)
Option A
B
On a coordinate plane, an exponential function decreases from quadrant 2 into quadrant 1 and approaches y = 0. It crosses the y-axis at (0, 0.44)
Option B
C
On a coordinate plane, an exponential function decreases from quadrant 2, through quadrant 3, into quadrant 4 and approaches y = negative 2. It crosses the y-axis at (0, negative 1)
Option C
D
On a coordinate plane, an exponential function decreases from quadrant 2 into quadrant 1 and approaches y = 2. It crosses the y-axis at (0, 3)
Option D
8

Which is the graph of f(x) = 2(3)x?

A
Option
B
Option
C
Option
D
Option
9

Which function represents exponential growth?

A
f(x) = 3x
B
f(x) = x3
C
f(x) = x + 3
D
f(x) = 3x
10

Which function represents exponential decay?

A
f(x) =
Option A
B
f(x) =
Option B
C
f(x) = 4
Option C
D
f(x) = 4
Option D
11

What are the domain and range of f(x) = + 2?

Question illustration
A
domain: ; range: {y | y > 0}
Option A
B
domain: ; range: {y | y > 2}
Option B
C
domain: {x | x is a real number}; range: {y | y > 2}
D
domain: {x | x is a real number}; range: {y | y > –2}
12

Which value of a in the exponential function below would cause the function to shrink?f(x) = a

Question illustration
A
Four-fifths
Option A
B
Five-fourths
Option B
C
Three-halves
Option C
D
Seven-fourths
Option D
13

Which is a stretch of an exponential growth function?

A
f(x) =
Option A
B
f(x) =
Option B
C
f(x) =
Option C
D
f(x) =
Option D
14

The graph of f(x) = (2.5)x and its reflection across the x-axis, g(x), are shown.

Question illustration
A
all real numbers
B
all real numbers less than 0
C
all real numbers greater than 0
D
all real numbers less than or equal to 0
15

Tanisha is graphing the function f(x) = 25()x. She begins by plotting the point (1, 15). Which could be the next point she plots on the graph?

Question illustration
A
(2, 9)
B
(2, –10)
C
(2, 14)
Option C
D
(2, 5)

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