Algebra II Workbook - Wayne County Public Schools

LESSON
2.7
CONTINUED
EXAMPLE 2
NAME _________________________________________________________ DATE ____________
Practice with Examples
For use with pages 114–120
Graphing a Piecewise Function
Graph the function: f x
x, if x ≤ 3
2
3 x 4, if x > 3
SOLUTION
To the right of x 3, the graph is given by y 2 3 x 4. To
the left of and including x 3, the graph is given by
y x.
1
y
1
(3, 2)
(3, 3)
x
The graph consists of two rays.
Exercises for Example 2
Graph the function.
5.
f x
x 2,
x 2,
if x > 1
if x ≤ 1
Chapter 2
6. f x
1
2 x 4,
2x 9,
if x < 2
if x ≥ 2
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Algebra 2 41
Practice Workbook with Examples