AnswersCA-Algebra I A – 6002Exponential Functions with Radical Bases

Exponential Functions with Radical Bases — Unit test Answers

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1
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Which is the graph of ?

Question illustration
A
Option
B
Option
C
Option
D
Option
2
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Which function has a simplified base of 4?

Question illustration
A
f(x) = 2
Option A
B
f(x) = 2
Option B
C
f(x) = 4
Option C
D
f(x) = 4
Option D
3

Selena is simplifying the expression . She wrote .What number should Selena put in the box?

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Answer not available
4

Which expressions can be simplified as ? Check all that apply.

Question illustration
A
(5 n Superscript negative 3 Baseline) Superscript 4
Option A
B
(5 n Superscript negative 3 Baseline) Superscript negative 4
Option B
C
(5 n Superscript negative 4 Baseline) Superscript 3
Option C
D
(25 n Superscript negative 6 Baseline) Superscript negative 2
Option D
E
(25 n Superscript negative 6 Baseline) Superscript 2
Option E
F
(25 n squared) Superscript negative 6
Option F
5

What is the value of t in this equation?

Question illustration
Answer not available
6

What is the value of the expression ?

Question illustration
Answer not available
7

An exponential function f(x) is reflected across the x-axis to create the function g(x). Which is a true statement regarding f(x) and g(x)?

T
The two functions have the same initial value.
T
The two functions will cross each other on the axis.
T
The two functions have reciprocal output values of each other for any given input value.
T
The two functions have opposite output values of each other for any given input value.
8

Which could be the first step in simplifying this expression? Check all that apply.

Question illustration
A
(x Superscript negative 18 Baseline) squared
Option A
B
(x Superscript negative 3 Baseline) squared
Option B
C
(x Superscript negative 2 Baseline) squared
Option C
D
x Superscript 6 Baseline x Superscript negative 12 Baseline
Option D
E
x Superscript 5 Baseline x Superscript negative 4
Option E
9

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
a
all real numbers less than 0
a
all real numbers greater than 0
a
all real numbers less than or equal to 0
10

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
11

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
12

What is the rate of increase for the function f(x) = ?

Question illustration
A
One-third
Option A
B
2
Option B
C
4
D
4
Option D
13

Which is the graph of ?

Question illustration
A
Option
B
Option
C
Option
D
Option
14

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)
15

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
16

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
17

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
18

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.

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