Relations and Functions Answers
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1
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Which of the following graphs represents a one-to-one function?
A
On a coordinate plane, a function has two curves connected to a straight line. The first curve has a maximum of (negative 6, 4) and a minimum of (negative 4.5, negative 1). The second curve has a maximum of (negative 3.5, 2) and a minimum of (negative 2.5, 0.5). The straight line has a positive slope and starts at (negative 2, 1) and goes through (1, 2).
B
On a coordinate plane, a circle intersects the x=axis at (negative 2, 0) and (2, 0) and intercepts the y-axis at (0, 4) and (0, negative 4).
C
On a coordinate plane, a v-shaped graph is facing up. The vertex is at (0,0) and the function goes through (negative 4, 4) and (4, 4).
D
A coordinate plane has 7 points. The points are (negative 4, 1), (negative 3, 4), (negative 1, 3), (1, negative 3), (3, negative 4), (4, negative 2), (5, 3).
2
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At which value in the domain does ?
A
x = negative 3
B
x = 0
C
x = 1
D
x = 4
3
Given , what is ?
A
Negative 10
B
Negative 6
C
6
D
14
4
Which set represents the same relation as the table below?xf(x)054269910
A
StartSet (0, 5), (4, 2), (6, 9), (9, 10) EndSet
B
StartSet (5, 0), (2, 4), (9, 6), (10, 9) EndSet
C
StartSet 0, 2, 4, 5, 6, 9, 10 EndSet
D
StartSet 2, 5, 9, 10 EndSet
5
Which table represents the same relation as the set ?
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.
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.
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.
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.
6
Which set represents the same relation as the graph below?
A
StartSet (4, negative 5), (negative 2, negative 3), (Negative 2, negative 1), (0, 2), (3, 3), (5, 4), (negative 4, 6) EndSet
B
StartSet (negative 5, 4), (negative 3, negative 2), (negative 1, negative 2), (2, 0), (3, 3), (4, 5), (6, negative 4) EndSet
C
StartSet (negative 5, 4), (negative 3, negative 1), (3, 3), (4, 5), (6, negative 4) EndSet
D
StartSet (4, negative 5), (negative 3, 2), (negative 1, 2), (2, 0), (4, 5), (6, 4) EndSet
7
In which function is x = 2 mapped to 32?
A
f (x) = Negative 3 x squared minus 4
B
g (x) = 4 (x + 3) squared minus 68
C
h (x) = 3 x
D
j (x) = 2x minus 62
8
Given the graph below, which of the following statements is true?
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.9
What is the range of the relation in the table below?xy–20–12041220
A
range:
B
range:
C
range:
D
range:
10
What is the range of the function graphed below?
A
1 less-than-or-equal-to y less-than 4
B
Negative 3 less-than y less-than-or-equal-to 3
C
Negative 2 less-than-or-equal-to y less-than-or-equal-to 3
D
Negative 3 less-than-or-equal-to y less-than 4
11
Given , what is ?
A
Negative 10B
Negative 6C
6D
1412
Given the graph below, which of the following statements is true?
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.13
Which set represents the same relation as the graph below?
A
StartSet (4, negative 5), (negative 2, negative 3), (Negative 2, negative 1), (0, 2), (3, 3), (5, 4), (negative 4, 6) EndSetB
StartSet (negative 5, 4), (negative 3, negative 2), (negative 1, negative 2), (2, 0), (3, 3), (4, 5), (6, negative 4) EndSetC
StartSet (negative 5, 4), (negative 3, negative 1), (3, 3), (4, 5), (6, negative 4) EndSetD
StartSet (4, negative 5), (negative 3, 2), (negative 1, 2), (2, 0), (4, 5), (6, 4) EndSet14
Which set represents the same relation as the table below?xf(x)054269910
A
StartSet (0, 5), (4, 2), (6, 9), (9, 10) EndSetB
StartSet (5, 0), (2, 4), (9, 6), (10, 9) EndSetC
StartSet 0, 2, 4, 5, 6, 9, 10 EndSetD
StartSet 2, 5, 9, 10 EndSet15
For what value of is the relation a function?
A
–1B
1C
2D
1216
In which function is x = 2 mapped to 32?
A
f (x) = Negative 3 x squared minus 4B
g (x) = 4 (x + 3) squared minus 68C
h (x) = 3 xD
j (x) = 2x minus 6217
Which table represents the same relation as the set ?
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.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.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.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 1.18
At which value in the domain does ?
A
x = negative 3B
x = 0C
x = 1D
x = 419
Which of the following graphs represents a one-to-one function?
A
On a coordinate plane, a function has two curves connected to a straight line. The first curve has a maximum of (negative 6, 4) and a minimum of (negative 4.5, negative 1). The second curve has a maximum of (negative 3.5, 2) and a minimum of (negative 2.5, 0.5). The straight line has a positive slope and starts at (negative 2, 1) and goes through (1, 2).B
On a coordinate plane, a circle intersects the x=axis at (negative 2, 0) and (2, 0) and intercepts the y-axis at (0, 4) and (0, negative 4).C
On a coordinate plane, a v-shaped graph is facing up. The vertex is at (0,0) and the function goes through (negative 4, 4) and (4, 4).D
A coordinate plane has 7 points. The points are (negative 4, 1), (negative 3, 4), (negative 1, 3), (1, negative 3), (3, negative 4), (4, negative 2), (5, 3).20
What is the range of the function graphed below?
A
1 less-than-or-equal-to y less-than 4B
Negative 3 less-than y less-than-or-equal-to 3C
Negative 2 less-than-or-equal-to y less-than-or-equal-to 3D
Negative 3 less-than-or-equal-to y less-than 4Did you find these answers helpful?
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