Functions Worksheet - Big Ideas Math Prealgebra: A Florida Standards Curriculum Teaching Edition Page 30
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47Lesson
6.4
Lesson Tutorials
The graph of a linear function shows a constant rate of change. A
Key Vocabulary
nonlinear function does not have a constant rate of change. So, its
nonlinear function,
graph is not a line.
p. 268
1 1
Identifying Functions from Tables
EXAMPLE
Does the table represent a linear or nonlinear function? Explain.
a.
+3
+3
+3
b.
+2
+2
+2
Study Tip
x
3
6
9
12
x
1
3
5
7
A constant rate of
y
40
32
24
16
change describes a
y
2
11
33
88
quantity that changes
by equal amounts over
−8
−8
−8
+9
+22 +55
equal intervals.
As x increases by 3,
As x increases by 2,
y decreases by 8. The
y increases by different
rate of change is constant.
amounts. The rate of
So, the function is linear.
change is not constant. So,
the function is nonlinear.
2 2
Identifying Functions from Graphs
EXAMPLE
Does the graph represent a linear or nonlinear function? Explain.
y
a.
b.
y
3
3
2
2
1
1
3
2
1
1
2
3
x
3
2
1
2
3
x
1
1
2
3
3
The graph is not a line. So,
The graph is a line. So,
the function is nonlinear.
the function is linear.
Does the table or graph represent a linear or nonlinear function?
Explain.
Exercises 7–10
1.
2.
3.
y
x
y
x
y
3
2
8
2
0
25
4
4
7
20
3
2
1
2
3
x
1
6
0
2
14
15
3
−4
8
21
10
268
Chapter 6
Functions
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