AnswersV Algebra 2 S1Function Inverses

Function Inverses — Unit test Answers

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What are the domain and range of the function ?

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A
domain: all real numbers greater than 1range: all real numbers
B
domain: all real numbersrange: all real numbers greater than 0
C
domain: all real numbersrange: all real numbers greater than 1
D
domain: all real numbers less than 5range: all real numbers greater than 1
2
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The domain of u(x) is the set of all real values except 0 and the domain of v(x) is the set of all real values except 2. What are the restrictions on the domain of ?

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A
u(x) 0 and v(x) 2
Option A
B
x 0 and x cannot be any value for which u(x) 2
Option B
C
x 2 and x cannot be any value for which v(x) 0
Option C
D
u(x) 2 and v(x) 0
Option D
3

The graph of f(x) is shown below.If g(x) and f(x) are inverse functions, which graph represents g(x)?

Question illustration
A
On a coordinate plane, a curve opens up and to the left in quadrant 1. The curve starts at (0, 0) and curves up sharply through (2, 4).
Option A
B
On a coordinate plane, a curve opens down and to the left in quadrant 2. The curve starts at (0, 0) and gradually curves through (negative 4, 2).
Option B
C
On a coordinate plane, a curve opens open and to the left in quadrant 3. The curve starts at (0, 0) and curves gradually through (negative 4, negative 2).
Option C
D
On a coordinate plane, a curve opens up and to the left in quadrant 1. The curve starts at (0, 0) and curves up through (4, 1).
Option D
4

If the function has an inverse function, which statement must be true?

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A
b not-equals 0
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
5

Which statement verifies that f(x) and g(x) are inverses of each other?

A
Option
Option A
B
and
Option B
C
Option
Option C
D
and
Option D
6

Which function is the inverse of ?

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A
f Superscript negative 1 Baseline (x) = negative one-fifth x + four-fifths
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
7

If r(x) = 2 – x2 and w(x) = x – 2, what is the range of ?

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A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
8

If and , what is the degree of ?

Question illustration
A
2
B
3
C
5
D
6
9

For which pair of functions is ?

Question illustration
A
f(x) = 3 – 4x and g(x) = 16x – 3
B
f(x) = 6x2 and
Option B
C
and g(x) = 144x
Option C
D
f(x) = 4x and g(x) = 3x
10

A cable company wants to provide cell phone service for residents on an island. The function for the cost of laying the cable from the island to the mainland is , where x represents the length of the cable in meters. What are the domain and range of the function?

Question illustration
A
domain: all real numbers range: all real numbers greater than or equal to 17,000
B
domain: all real numbers greater than or equal to 0range: all real numbers greater than or equal to 17,000
C
domain: all real numbers greater than or equal to 0range: all real numbers greater than or equal to 13,000
D
domain: all real numbers greater than or equal to 13,000range: all real numbers greater than or equal to 0
11

What are the domain and range of the function below?

Question illustration
A
domain: range:
Option A
B
domain: range:
Option B
C
domain: range:
Option C
D
domain: range:
Option D
12

What values are excluded from the domain and range of the function ?

Question illustration
A
domain: range:
Option A
B
domain: range:
Option B
C
domain: range:
Option C
D
domain: range:
Option D

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