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Worksheet by Kuta Software LLC
IM3
PIECEWISE FUNCTIONS LINEAR ONLY
Name___________________________________ ID: 1
Date________________ Period____
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-1-
Sketch the graph of each function.
1) f
(
x
)
=
{
-2, x < -4
x + 2, -4 £ x £ 1
x, x > 1
x
y
-8 -6 -4 -2 2 4 6 8
-8
-6
-4
-2
2
4
6
8
2) g
(
x
)
=
{
x + 3, x < -3
-2x - 2, x ³ -3
x
y
-8 -6 -4 -2 2 4 6 8
-8
-6
-4
-2
2
4
6
8
3) g
(
x
)
=
{
x + 2, x < -3
-6, -3 £ x < 3
-x + 2, x ³ 3
x
y
-8 -6 -4 -2 2 4 6 8
-8
-6
-4
-2
2
4
6
8
4) f
(
x
)
=
{
-4, x < 4
-x + 4, x ³ 4
x
y
-8 -6 -4 -2 2 4 6 8
-8
-6
-4
-2
2
4
6
8
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Worksheet by Kuta Software LLC
-2-
5) f
(
x
)
=
{
-4, x £ -1
2x - 2, -1 < x < 4
-2, x ³ 4
x
y
-8 -6 -4 -2 2 4 6 8
-8
-6
-4
-2
2
4
6
8
6) g
(
x
)
=
{
-x - 1, x < 1
-x + 2, x ³ 1
x
y
-8 -6 -4 -2 2 4 6 8
-8
-6
-4
-2
2
4
6
8
7) f
(
x
)
=
{
-x - 3, x £ -4
-2, x > -4
x
y
-8 -6 -4 -2 2 4 6 8
-8
-6
-4
-2
2
4
6
8
8) f
(
x
)
=
{
-5, x £ 0
-x - 1, x > 0
x
y
-8 -6 -4 -2 2 4 6 8
-8
-6
-4
-2
2
4
6
8
