AnswersSummer 2026 Common Core Algebra I - MA3109 B-IC MEF22QXVExponential Functions with Radical Bases

Exponential Functions with Radical Bases — Unit test Answers

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1
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Which function represents exponential decay?

Question illustration
f
f(x) =
Option f
f
f(x) =
Option f
f
f(x) = 4
Option f
f
f(x) = 4
Option f
2
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Which is the graph of the sequence defined by the function f(x) = 100(0.5)x - 1?

A
Option
B
Option
C
Option
D
Option
3

The function f(x) = 5 is reflected over the y-axis. Which equations represent the reflected function? Select two options.f(x) = f(x) = f(x) = 5f(x) = 5(5)xf(x) = 5(5)–x

Question illustration
A
f(x) =
Option A
B
f(x) =
Option B
C
f(x) = 5
Option C
D
f(x) = 5(5)x
E
f(x) = 5(5)–x
4

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
5

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

g
g(x) = (1.6)x + 5 − 9
g
g(x) = (1.6)x + 5 + 9
g
g(x) = (1.6)x − 9 + 5
g
g(x) = (1.6)x + 9 + 5
6

Which is the graph of ?

Question illustration
A
Option
B
Option
C
Option
D
Option
7

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.)

y
y = 7,746.90(1.02)x
y
y = 7,746.90(0.02)x
y
y = 7,595.96(1.02)x
y
y = 7,595.96(0.02)x
8

An exponential growth function has an asymptote of y = –3. Which might have occurred in the original function to permit the range to include negative numbers?

A
A whole number constant could have been added to the exponential expression.
B
A whole number constant could have been subtracted from the exponential expression.
C
A whole number constant could have been added to the exponent.
D
A whole number constant could have been subtracted from the exponent.
9

Adita has two options for how to invest $1,000.Plan A: Put the $1,000 in an account that pays $100 per year.Plan B: Put the $1,000 in an account that pays 5 percent interest per year.Which statement is true?

A
Plan A will be worth more than plan B after two years.
B
Plan A will be worth the same amount as plan B after one year.
C
Plan B will be worth more than plan A after three years.
D
Plan B will be worth more than plan A after four years.
10

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}
11

Which is equivalent to ?

Question illustration
A
3
B
6
C
9
D
12
12

Which is a stretch of an exponential growth function?

Question illustration
f
f(x) =
Option f
f
f(x) =
Option f
f
f(x) =
Option f
f
f(x) =
Option f
13

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)
14

Which is equivalent to ?

Question illustration
A
RootIndex 4 StartRoot 16 EndRoot Superscript 3 x
Option A
B
RootIndex 4 x StartRoot 16 EndRoot cubed
Option B
C
RootIndex 3 StartRoot 16 EndRoot Superscript 4 x
Option C
D
RootIndex 3 x StartRoot 16 EndRoot Superscript 4
Option D
15

Which function represents exponential growth?

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

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