Graphing Piecewise Functions - MR. DER MANUELIAN

[Pages:8]Algebra 2/2 AB

Name___________________________________

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Graphing Piecewise Functions

Date________________ Period____

Together! Sketch the graph of each function.

{ 1) f (x) = x + 2, x ? 1 -x + 3, x > 1 y 8

6

4

2

{ 2) h(x) = x + 4, x < -1 -2x + 1, x ? -1 y 8

6

4

2

-8 -6 -4 -2 -2

2 4 6 8x

-4

-6

-8

{ 3) f (x) = -2x + 4, x < 2 x - 1, x ? 2

y 8

6

4

2

-8 -6 -4 -2 -2 -4 -6 -8

2 4 6 8x

{-2x - 4, x < -2

5) f (x) = -1, -2 ? x ? 4

-x + 1, x > 4

y 8

6

4

2

-8 -6 -4 -2 -2

2 4 6 8x

-4

-6

-8

{x + 3, x ? -2

4) f (x) = -x + 3, -2 < x ? 4

-x, x > 4

y 8

6

4

2

-8 -6 -4 -2 -2

2 4 6 8x

-4

-6

-8

{x + 3, x ? -4

6) g(x) = -2, -4 < x ? 2

2x - 3, x > 2

y 8

6

4

2

-8 -6 -4 -2 -2

2 4 6 8x

-8 -6 -4 -2 -2

2 4 6 8x

-4

-4

-6

-6

-8

-8

Worksheet by Kuta Software LLC

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Sketch the graph of each function.

{ 7) f (x) = -2x - 1, x < 2

x,

x ? 2

y 8

6

4

2

-8 -6 -4 -2 -2 -4 -6 -8

2 4 6 8x

{ 8) f (x) = 2x - 4, x < 3 x - 1, x ? 3 y 8

6

4

2

-8 -6 -4 -2 -2 -4 -6 -8

2 4 6 8x

{ 9) g(x) = x + 1, x ? -4 -x + 2, x > -4 y 8

6

4

2

-8 -6 -4 -2 -2 -4 -6 -8

2 4 6 8x

{ 10) f (x) = x - 4, x < 0 -2x, x ? 0 y 8

6

4

2

-8 -6 -4 -2 -2 -4 -6 -8

2 4 6 8x

{ 11) f (x) = -x + 4, x ? 1 x - 3, x > 1 y 8

6

4

2

-8 -6 -4 -2 -2 -4 -6 -8

2 4 6 8x

{ 12) g(x) = x + 2, x < 4 x - 3, x ? 4 y 8

6

4

2

-8 -6 -4 -2 -2 -4 -6 -8

2 4 6 8x

Worksheet by Kuta Software LLC

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{ 13) g(x) = -x - 1, x < -4 x + 2, x ? -4 y 8

6

4

2

-8 -6 -4 -2 -2 -4 -6 -8

2 4 6 8x

{ 14) f (x) = x - 4, x ? 1 -x + 3, x > 1 y 8

6

4

2

-8 -6 -4 -2 -2 -4 -6 -8

2 4 6 8x

{ 15) h(x) = -x - 1, x ? 4 x - 2, x > 4 y 8

6

4

2

-8 -6 -4 -2 -2 -4 -6 -8

2 4 6 8x

{-5, x < -3

16) f (x) = x + 2, -3 ? x < 1

-x + 1, x ? 1

y 8

6

4

2

-8 -6 -4 -2 -2 -4 -6 -8

2 4 6 8x

{-x, x ? -2

17) g(x) = 2x - 2, -2 < x < 2

3, x ? 2

y 8

6

4

2

-8 -6 -4 -2 -2 -4 -6 -8

2 4 6 8x

{1, x < -1

18) f (x) = -x + 3, -1 ? x < 4

6, x ? 4

y 8

6

4

2

-8 -6 -4 -2 -2 -4 -6 -8

2 4 6 8x

Worksheet by Kuta Software LLC

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{x - 1, x < -3

19) w(x) = 3, -3 ? x ? 1

-x + 2, x > 1

y 8

6

4

2

-8 -6 -4 -2 -2 -4 -6 -8

2 4 6 8x

{-x, x ? -4

20) w(x) = 2x + 3, -4 < x ? 0

-x - 1, x > 0

y 8

6

4

2

-8 -6 -4 -2 -2 -4 -6 -8

2 4 6 8x

{6, x < -4

21) f (x) = -x + 1, -4 ? x < 0

x - 3, x ? 0

y 8

6

4

2

-8 -6 -4 -2 -2 -4 -6 -8

2 4 6 8x

{-x - 3, x ? -3

22) f (x) = -x - 1, -3 < x ? 1

-x - 3, x > 1

y 8

6

4

2

-8 -6 -4 -2 -2 -4 -6 -8

2 4 6 8x

{5, x ? -4

23) g(x) = x + 2, -4 < x ? 1

2, x > 1

y 8

6

4

2

{-2, x ? -2

24) f (x) = 5, -2 < x ? 3

-1, x > 3

y 8

6

4

2

-8 -6 -4 -2 -2 -4 -6 -8

2 4 6 8x

-8 -6 -4 -2 -2 -4 -6 -8

2 4 6 8x

Worksheet by Kuta Software LLC

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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 -x + 3, x > 1 y 8

6

4

2

{ 2) h(x) = x + 4, x < -1 -2x + 1, x ? -1 y 8

6

4

2

-8 -6 -4 -2 -2

2 4 6 8x

-4

-6

-8

{ 3) f (x) = -2x + 4, x < 2 x - 1, x ? 2

y 8

6

4

2

-8 -6 -4 -2 -2 -4 -6 -8

2 4 6 8x

{-2x - 4, x < -2

5) f (x) = -1, -2 ? x ? 4

-x + 1, x > 4

y 8

6

4

2

-8 -6 -4 -2 -2

2 4 6 8x

-4

-6

-8

{x + 3, x ? -2

4) f (x) = -x + 3, -2 < x ? 4

-x, x > 4

y 8

6

4

2

-8 -6 -4 -2 -2

2 4 6 8x

-4

-6

-8

{x + 3, x ? -4

6) g(x) = -2, -4 < x ? 2

2x - 3, x > 2

y 8

6

4

2

-8 -6 -4 -2 -2

2 4 6 8x

-8 -6 -4 -2 -2

2 4 6 8x

-4

-4

-6

-6

-8

-8

Worksheet by Kuta Software LLC

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Sketch the graph of each function.

{ 7) f (x) = -2x - 1, x < 2

x,

x ? 2

y 8

6

4

2

-8 -6 -4 -2 -2 -4 -6 -8

2 4 6 8x

{ 8) f (x) = 2x - 4, x < 3 x - 1, x ? 3 y 8

6

4

2

-8 -6 -4 -2 -2 -4 -6 -8

2 4 6 8x

{ 9) g(x) = x + 1, x ? -4 -x + 2, x > -4 y 8

6

4

2

-8 -6 -4 -2 -2 -4 -6 -8

2 4 6 8x

{ 10) f (x) = x - 4, x < 0 -2x, x ? 0 y 8

6

4

2

-8 -6 -4 -2 -2 -4 -6 -8

2 4 6 8x

{ 11) f (x) = -x + 4, x ? 1 x - 3, x > 1 y 8

6

4

2

-8 -6 -4 -2 -2 -4 -6 -8

2 4 6 8x

{ 12) g(x) = x + 2, x < 4 x - 3, x ? 4 y 8

6

4

2

-8 -6 -4 -2 -2 -4 -6 -8

2 4 6 8x

Worksheet by Kuta Software LLC

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{ 13) g(x) = -x - 1, x < -4 x + 2, x ? -4 y 8

6

4

2

-8 -6 -4 -2 -2 -4 -6 -8

2 4 6 8x

{ 14) f (x) = x - 4, x ? 1 -x + 3, x > 1 y 8

6

4

2

-8 -6 -4 -2 -2 -4 -6 -8

2 4 6 8x

{ 15) h(x) = -x - 1, x ? 4 x - 2, x > 4 y 8

6

4

2

-8 -6 -4 -2 -2 -4 -6 -8

2 4 6 8x

{-5, x < -3

16) f (x) = x + 2, -3 ? x < 1

-x + 1, x ? 1

y 8

6

4

2

-8 -6 -4 -2 -2 -4 -6 -8

2 4 6 8x

{-x, x ? -2

17) g(x) = 2x - 2, -2 < x < 2

3, x ? 2

y 8

6

4

2

-8 -6 -4 -2 -2 -4 -6 -8

2 4 6 8x

{1, x < -1

18) f (x) = -x + 3, -1 ? x < 4

6, x ? 4

y 8

6

4

2

-8 -6 -4 -2 -2 -4 -6 -8

2 4 6 8x

Worksheet by Kuta Software LLC

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{x - 1, x < -3

19) w(x) = 3, -3 ? x ? 1

-x + 2, x > 1

y 8

6

4

2

-8 -6 -4 -2 -2 -4 -6 -8

2 4 6 8x

{-x, x ? -4

20) w(x) = 2x + 3, -4 < x ? 0

-x - 1, x > 0

y 8

6

4

2

-8 -6 -4 -2 -2 -4 -6 -8

2 4 6 8x

{6, x < -4

21) f (x) = -x + 1, -4 ? x < 0

x - 3, x ? 0

y 8

6

4

2

-8 -6 -4 -2 -2 -4 -6 -8

2 4 6 8x

{-x - 3, x ? -3

22) f (x) = -x - 1, -3 < x ? 1

-x - 3, x > 1

y 8

6

4

2

-8 -6 -4 -2 -2 -4 -6 -8

2 4 6 8x

{5, x ? -4

23) g(x) = x + 2, -4 < x ? 1

2, x > 1

y 8

6

4

2

{-2, x ? -2

24) f (x) = 5, -2 < x ? 3

-1, x > 3

y 8

6

4

2

-8 -6 -4 -2 -2 -4 -6 -8

2 4 6 8x

-8 -6 -4 -2 -2 -4 -6 -8

2 4 6 8x

Worksheet by Kuta Software LLC

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