Functions Worksheet - Big Ideas Math Prealgebra: A Florida Standards Curriculum Teaching Edition Page 7
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47A relation that pairs each input with exactly one output is a function.
2 2
Determining Whether Relations Are Functions
EXAMPLE
Determine whether each relation is a function.
a.
b.
Input
Output
Input
Output
− 9
− 2
0
3
− 2
− 1
5
4
5
10
0
5
12
1
6
2
7
Each input has exactly
one output. So, the
The input 0 has two
relation is a function.
outputs, 5 and 6. So, the
relation is not a function.
Describing a Mapping Diagram
3 3
EXAMPLE
Consider the mapping diagram at the left.
Input
Output
a. Determine whether the relation is a function.
1
15
Each input has exactly one output.
2
30
3
45
So, the relation is a function.
4
60
b. Describe the pattern of inputs and
outputs in the mapping diagram.
Input
Output
Look at the relationship between
1
15
the inputs and the outputs.
2
30
3
45
As each input increases by 1,
4
60
the output increases by 15.
Determine whether the relation is a function.
Exercises 9–11
Input
Output
3.
4.
Input
Output
and 13–15
2
1
2
6
−
—
4
2
4
3
1
7
6
0
—
3
9
− 3
8
5. Describe the pattern of inputs and outputs in the
mapping diagram in On Your Own 4.
Section 6.1
Relations and Functions
245
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