Graphing Piecewise Functions - MR. DER MANUELIAN
Algebra 2/2 AB
Name___________________________________
?T Y2S0_1I8W fKmudt[ab ASro\fptswca[ryeY BL[LXCJ.P l jAtl^lb jrEiLgGhGthsi NrZegsBeqrWvGeMd^.
Graphing Piecewise Functions
Date________________ Period____
Together! Sketch the graph of each function.
1) f ( x) =
{
x + 2, x ? 1
2) h( x) =
-x + 3, x > 1
{
x + 4,
x < -1
-2x + 1, x ? -1
y
-8
-6
-4
3) f ( x) =
{
y
8
8
6
6
4
4
2
2
-2
2
4
6
8 x
-8
-6
-4
-2
2
-2
-2
-4
-4
-6
-6
-8
-8
-2x + 4, x < 2
x - 1,
{
4
6
8 x
x + 3, x ? -2
4) f ( x) = -x + 3, -2 < x ? 4
x?2
y
8
x>4
-x,
y
-8
-6
-4
6
8
4
6
2
4
-2
2
4
6
2
8 x
-2
-8
-6
-4
-2
2
-4
-2
-6
-4
-8
-6
4
6
8 x
-8
{
-2x - 4, x < -2
5) f ( x) = -1,
{
x + 3, x ? -4
6) g( x) = -2,
-2 ? x ? 4
-x + 1, x > 4
-4 < x ? 2
2x - 3, x > 2
y
-8
-6
-4
y
8
8
6
6
4
4
2
2
-2
2
4
6
8 x
-8
-6
-4
-2
2
-2
-2
-4
-4
-6
-6
-8
4
6
8 x
-8
-1-
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Worksheet by Kuta Software LLC
Sketch the graph of each function.
7) f ( x) =
{
-2x - 1, x < 2
x,
8) f ( x) =
x?2
{
2x - 4, x < 3
x - 1, x ? 3
y
-8
-6
9) g( x) =
-4
{
y
8
8
6
6
4
4
2
2
-2
2
4
6
8 x
-8
-6
-4
-2
2
-2
-2
-4
-4
-6
-6
-8
-8
x + 1, x ? -4
10) f ( x) =
-x + 2, x > -4
{
-6
-4
11) f ( x) =
{
-6
-4
6
6
4
4
2
2
2
4
6
8 x
-8
-6
-4
-2
2
-2
-2
-4
-4
-6
-6
-8
-8
-x + 4, x ? 1
12) g( x) =
x - 3, x > 1
{
6
8 x
4
6
8 x
x + 2, x < 4
x - 3, x ? 4
y
8
8
6
6
4
4
2
2
-2
4
y
8
y
-8
8 x
-2x, x ? 0
8
-2
6
x - 4, x < 0
y
-8
4
2
4
6
8 x
-8
-6
-4
-2
2
-2
-2
-4
-4
-6
-6
-8
-8
Worksheet by Kuta Software LLC
-2-
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13) g( x) =
{
-x - 1, x < -4
14) f ( x) =
x + 2, x ? -4
{
x - 4, x ? 1
-x + 3, x > 1
y
-8
-6
-4
15) h( x) =
8
6
6
4
4
2
2
-2
{
y
8
2
4
6
8 x
-8
-6
-4
-2
2
-2
-2
-4
-4
-6
-6
-8
-8
-x - 1, x ? 4
{
4
6
8 x
x < -3
-5,
16) f ( x) = x + 2, -3 ? x < 1
x - 2, x > 4
y
8
-x + 1, x ? 1
y
-8
-6
-4
6
8
4
6
2
4
-2
2
4
6
2
8 x
-2
-8
-6
-4
-2
2
-4
-2
-6
-4
-8
-6
4
6
8 x
-8
{
x ? -2
-x,
{
17) g( x) = 2x - 2, -2 < x < 2
18) f ( x) = -x + 3, -1 ? x < 4
x?2
3,
x < -1
1,
x?4
6,
y
-8
-6
-4
y
8
8
6
6
4
4
2
2
-2
2
4
6
8 x
-8
-6
-4
-2
2
-2
-2
-4
-4
-6
-6
-8
-8
4
6
8 x
Worksheet by Kuta Software LLC
-3-
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{
x - 1, x < -3
19) w( x) = 3,
{
x ? -4
-x,
20) w( x) = 2x + 3, -4 < x ? 0
-3 ? x ? 1
-x + 2, x > 1
-x - 1, x > 0
y
-8
-6
-4
8
6
6
4
4
2
2
-2
{
y
8
2
4
6
8 x
-8
-6
-4
-2
2
-2
-2
-4
-4
-6
-6
-8
-8
x < -4
6,
{
21) f ( x) = -x + 1, -4 ? x < 0
-6
-4
-x - 3, x > 1
{
y
8
8
6
6
4
4
2
2
2
4
6
8 x
-8
-6
-4
-2
2
-2
-2
-4
-4
-6
-6
-8
-8
x ? -4
5,
{
23) g( x) = x + 2, -4 < x ? 1
-6
-4
8 x
6
8 x
-1, x > 3
y
8
8
6
6
4
4
2
2
-2
6
-2, x ? -2
y
-8
4
24) f ( x) = 5, -2 < x ? 3
x>1
2,
8 x
22) f ( x) = -x - 1, -3 < x ? 1
x - 3, x ? 0
-2
6
-x - 3, x ? -3
y
-8
4
2
4
6
8 x
-8
-6
-4
-2
2
-2
-2
-4
-4
-6
-6
-8
-8
4
Worksheet by Kuta Software LLC
-4-
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Algebra 2/2 AB
Name___________________________________
?N \2v0y1O8k BKGu^tQaQ qSiobfItCwUaar`eR KLzLTCw.p r wAJlllS nrtizgLhLtMsf urFe`spehrEvKecd_.
Graphing Piecewise Functions
Date________________ Period____
Together! Sketch the graph of each function.
1) f ( x) =
{
x + 2, x ? 1
2) h( x) =
-x + 3, x > 1
{
x + 4,
x < -1
-2x + 1, x ? -1
y
-8
-6
-4
3) f ( x) =
{
y
8
8
6
6
4
4
2
2
-2
2
4
6
8 x
-8
-6
-4
-2
2
-2
-2
-4
-4
-6
-6
-8
-8
-2x + 4, x < 2
x - 1,
{
4
6
8 x
x + 3, x ? -2
4) f ( x) = -x + 3, -2 < x ? 4
x?2
y
8
x>4
-x,
y
-8
-6
-4
6
8
4
6
2
4
-2
2
4
6
2
8 x
-2
-8
-6
-4
-2
2
-4
-2
-6
-4
-8
-6
4
6
8 x
-8
{
-2x - 4, x < -2
5) f ( x) = -1,
{
x + 3, x ? -4
6) g( x) = -2,
-2 ? x ? 4
-x + 1, x > 4
-4 < x ? 2
2x - 3, x > 2
y
-8
-6
-4
y
8
8
6
6
4
4
2
2
-2
2
4
6
8 x
-8
-6
-4
-2
2
-2
-2
-4
-4
-6
-6
-8
4
6
8 x
-8
-1-
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Worksheet by Kuta Software LLC
................
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