Relations and Functions Answers
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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 forestB
the set of car make and models and the set of people in a certain townC
the set of birthdays and the set of students in a classD
the set of people with Social Security cards and the set of Social Security numbers2
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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
3
Given , what is ?
A
Negative 10
B
Negative 6
C
6
D
14
4
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
6
At which value in the domain does ?
A
x = negative 3
B
x = 0
C
x = 1
D
x = 4
7
What is the range of the relation in the table below?xy–20–12041220
A
range:
B
range:
C
range:
D
range:
8
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.
9
Given , find .
A
–334B
–14C
45D
44510
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.Did you find these answers helpful?
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