AnswersCA-Common Core Math I A-CRTranslations of Exponential Functions

Translations of Exponential Functions — Unit test Answers

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The graph shows that f(x)= is translated horizontally and vertically to get the function .

Question illustration
A
−5
B
−3
C
3
D
5
2
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Which is the graph of ?

Question illustration
A
Option
B
Option
C
Option
D
Option
3

What is the range of f(x) = – 4?

Question illustration
A
{y | y > –4}
B
Left-brace y vertical line y greater-than three-fourths right-brace
Option B
C
{y | y < –4}
D
Left-brace y vertical line y less-than three-fourths right-brace
Option D
4

Which table represents exponential growth?

A
A 2-column table has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled y with entries 2, 4, 6, 8.
Option A
B
A 2-column table has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled y with entries 2, 4, 8, 16.
Option B
C
A 2-column table has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled y with entries 2, 4, 7, 11.
Option C
D
A 2-column table has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled y with entries 2, 4, 6, 10.
Option D
5

The curve through the ordered pairs (0, 10), (1, 5), and (2, 2.5) can be represented by the function f(x) = 10(0.5)x. What is the multiplicative rate of change of the function?

A
0.5
B
2
C
2.5
D
5
6

Over which interval is the graph of the parent absolute value function decreasing?

Question illustration
A
(–∞, ∞)
B
(–∞, 0)
C
(–6, 0)
D
(0, ∞)
7

Which graph represents the function f(x) = 4|x|?

A
Option
B
Option
C
Option
D
Option
8

Which graph represents the function h(x) = |x| + 0.5?

A
Option
B
Option
C
Option
D
Option
9

Question text not available

Question illustration
A
–1
B
Option
Option B
C
1
D
4
10

On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and increases into quadrant 1. It goes through (negative 1, 0.25), (0, 0.5), (1, 1).

Question illustration
A
f(x) = 2
Option A
B
f(x) = (2)x
Option B
C
f(x) =
Option C
D
f(x) = 2(2)x
11

Which is the graph of f(x) = (4)x?

Question illustration
A
Option
B
Option
C
Option
D
Option
12

Which best describes the range of the function f(x) = (6)x after it has been reflected over the x-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
13

Which is a stretch of an exponential decay function?

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

On a coordinate plane, 2 exponential functions are shown. f (x) approaches y = 0 in quadrant 2 and then increases into quadrant 1. It crosses the y-axis at (0, 0.5) and goes through (1, 1).

Question illustration
A
g(x) = 2(3)x
B
g(x) = −(3)x
Option B
C
g(x) = (3)−x
Option C
D
g(x) = 2(3)−x
15

On a coordinate plane, an exponential function approached y = 0 in quadrant 2 and increases into quadrant 1. It crosses the x-axis at (0, 2).

Question illustration
A
0
B
1
C
2
D
4
16

The graph of g(x) is the result of translating the graph of f(x) = 3x six units to the right. What is the equation of g(x)?

A
g(x) = 3x – 6
B
g(x) = 3x + 6
C
g(x) = 3x – 6
D
g(x) = 3x + 6
17

The graph of f(x) = |x| is translated 6 units to the right and 2 units up to form a new function. Which statement about the range of both functions is true?

A
The range is the same for both functions: {y | y is a real number}.
B
The range is the same for both functions: {y | y > 0}.
C
The range changes from {y | y > 0} to {y | y > 2}.
D
The range changes from {y | y > 0} to {y | y > 6}.
18

Question text not available

Question illustration
A
all real numbers
B
all real numbers less than or equal to 3
C
all real numbers less than or equal to –3
D
all real numbers greater than or equal to –3
19

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, 4).

Question illustration
A
0
B
1
C
2
D
4
20

What are the domain, range, and asymptote of h(x) = 6x – 4?

A
domain: {x | x is a real number}; range: {y | y > 4}; asymptote: y = 4
B
domain: {x | x is a real number}; range: {y | y > –4}; asymptote: y = –4
C
domain: {x | x > –4}; range: {y | y is a real number}; asymptote: y = 4
D
domain: {x | x > 4}; range: {y | y is a real number}; asymptote: y = –4

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