Relations and Functions A.2.3 (includes A.2.13)
Multiple Choice
Identify the choice that best completes the statement or answers the question.
1
Select the equation that best represents the data.
x
1
2
4
5
10
A
B
2
y = 6x - 4
y = x
3
C
y = 6x
D
y = 2x + 4
Which of the following sets of ordered pairs could be part of a linear function?
F
G
3
y
2
8
20
26
56
(0, 1), (3, 4), (6, 7), (10, 11)
(1, 5), (2, 6), (3, 6), (4, 8)
(-2, 1), (1, -1), (3, -4), (5, 6)
(0, 0), (1, 2), (3, 4), (5, 7)
H
I
Which of the following statements explains the reason why the relation below is a function?
x
-2
-1
0
1
2
3
A
B
C
D
y
0
2
4
6
8
10
All the output values are positive.
Each input value has exactly one output value.
There are two input values that are negative.
The points form a line.
1
4
Does the graph below describe a function? Justify your conclusion.
F
G
H
I
5
Yes, because the graph has a positive slope.
Yes, because the graph is not curved.
Yes, because the graph is linear.
Yes, because the graph is linear and has a defined slope.
Is the relation described by the values also a function? Justify your answer.
x
-4
-2
0
-2
4
6
8
A
B
C
D
y
0
2
5
-3
-5
7
10
Yes, because all the output values are different.
Yes, because it is not linear.
No, because there is an input value that has two different output values.
No, because it is not linear.
2
6
Identify the mapping diagram that represents the relation and determine whether the relation is a function.
ÔÏ
Ô¸
ÔÌÓ (-8, -6), (-5, 2), (-8, 1), (7, 3) Ô˝˛
F
H
The relation is a function.
G
The relation is not a function
I
The relation is a function.
7
8
2
Evaluate f ( x) = -x + 1 for x = –3.
A –9
B –4
C
–8
D
4
H
f(x) = x + 4
I
f(x) = -4 - x
Write a function rule for the table.
x
3
4
5
6
F
9
The relation is not a function.
f(x)
7
8
9
10
f(x) = x - 4
G
f(x) = 4x
Write a function rule that gives the total cost c(p) of p pounds of sugar if each pound costs $.59.
A c(p) = 59p
C c(p) = p + 0.59
p
B c(p) =
D c(p) = 0.59p
0.59
3
10
For f(x) = 2x + 8, which represents f(x) when x = 6?
F 16
H 28
G 20
I
96
11
For f(x) =
A
B
48
4
24
- 2, which represents f(x) when x = 4?
x
C -4
D 4
4
ID: A
Relations and Functions A.2.3 (includes A.2.13)
Answer Section
MULTIPLE CHOICE
1
2
3
4
5
6
7
8
9
10
11
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
A
F
B
I
C
I
C
H
D
G
D
STA:
STA:
STA:
STA:
STA:
STA:
STA:
STA:
STA:
STA:
STA:
MA.912.A.2.3
MA.912.A.2.3
MA.912.A.2.3
MA.912.A.2.3
MA.912.A.2.3
FL MA.D.1.4.1
FL MA.D.1.4.1
FL MA.D.1.4.1
FL MA.D.1.4.1
MA.912.A.2.3
MA.912.A.2.3
1