Relations and Functions Answers
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1
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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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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).
3
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.4
Given , what is ?
A
Negative 10
B
Negative 6
C
6
D
14
5
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
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:
9
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.
10
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
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