Relations and Functions Answers

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1
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For what value of is the relation a function?

Question illustration
A
–1
B
1
C
2
D
12
2
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Given , find .

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A
–334
B
–14
C
45
D
445
3

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
4

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
5

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)}
6

Which function rule models the function over the domain specified in the table below?xf(x)–7–11–1139411717

A
f(x) = 3x + 10
B
f(x) = 2x + 3
C
f(x) = 4x + 5
D
f(x) = 3x – 10
7

Which set represents the same relation as the table below?xf(x)054269910

A
StartSet (0, 5), (4, 2), (6, 9), (9, 10) EndSet
Option A
B
StartSet (5, 0), (2, 4), (9, 6), (10, 9) EndSet
Option B
C
StartSet 0, 2, 4, 5, 6, 9, 10 EndSet
Option C
D
StartSet 2, 5, 9, 10 EndSet
Option D
8

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
9

Which table represents the same relation as the set ?

Question illustration
A
A 2-column table has 4 rows. The first column is labeled x with entries negative 6, 4, negative 4, 0. The second column is labeled y with entries negative 3, 2, negative 1, 2.
Option A
B
A 2-column table has 4 rows. The first column is labeled x with entries negative negative 6, negative 4, negative 3, negative 1. The second column is labeled y with entries 4, 0, 2, 2.
Option B
C
A 2-column table has 4 rows. The first column is labeled x with entries 6, 4, 3, 1. The second column is labeled y with entries negative 6, negative 4, negative 3, negative 1.
Option C
D
A 2-column table has 4 rows. The first column is labeled x with entries negative 4, 0, 2, 2. The second column is labeled y with entries negative 6, negative 4, negative 3, negative 1.
Option D
10

Which set represents the same relation as the graph below?

Question illustration
A
StartSet (4, negative 5), (negative 2, negative 3), (Negative 2, negative 1), (0, 2), (3, 3), (5, 4), (negative 4, 6) EndSet
Option A
B
StartSet (negative 5, 4), (negative 3, negative 2), (negative 1, negative 2), (2, 0), (3, 3), (4, 5), (6, negative 4) EndSet
Option B
C
StartSet (negative 5, 4), (negative 3, negative 1), (3, 3), (4, 5), (6, negative 4) EndSet
Option C
D
StartSet (4, negative 5), (negative 3, 2), (negative 1, 2), (2, 0), (4, 5), (6, 4) EndSet
Option D

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