Relations and Functions Answers

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1
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Given the graph below, which of the following statements is true?

Question illustration
A
The graph represents a one-to-one function because every x-value is paired with only one y-value.
B
The graph represents a one-to-one function because it is defined for all x-values.
C
The graph does not represent a one-to-one function because it does not pass through the origin.
D
The graph does not represent a one-to-one function because the y-values between 0 and 2 are paired with multiple x-values.
2
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In which function is x = 2 mapped to 32?

A
f (x) = Negative 3 x squared minus 4
Option A
B
g (x) = 4 (x + 3) squared minus 68
Option B
C
h (x) = 3 x
Option C
D
j (x) = 2x minus 62
Option D
5

Which of the following scenarios exhibits a function relation? Take the first set listed to be the domain of the relation.

A
the set of tree heights and the set of trees in a forest
B
the set of car make and models and the set of people in a certain town
C
the set of birthdays and the set of students in a class
D
the set of people with Social Security cards and the set of Social Security numbers
6

At which value in the domain does ?

Question illustration
A
x = negative 3
Option A
B
x = 0
Option B
C
x = 1
Option C
D
x = 4
Option D
7

What is the domain of the relation graphed below?

Question illustration
A
domain: {–5, –4, –3, –2, 0, 1, 2, 3, 4, 5}
B
domain: {–3, –2, 0, 1, 4}
C
domain: {–5, –4, –3, 1, 2, 5}
D
domain: {(–5, 0), (–4, 1), (–3, 4), (1, –2), (2, 4), (5, –3)}
8

Given , find .

Question illustration
A
–334
B
–14
C
45
D
445
9

What is the range of the function graphed below?

Question illustration
A
1 less-than-or-equal-to y less-than 4
Option A
B
Negative 3 less-than y less-than-or-equal-to 3
Option B
C
Negative 2 less-than-or-equal-to y less-than-or-equal-to 3
Option C
D
Negative 3 less-than-or-equal-to y less-than 4
Option D

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