Piecewise Functions Date Period - Kuta Software

Kuta Software - Infinite Precalculus

Piecewise Functions

Sketch the graph of each function.

{ 1) f (x) = x, x x, x y

x

Name___________________________________ Date________________ Period____

{, x

2) f (x) = x, x

x, x

y

x

{x, x

3) f (x) = x , x

x, x

y

x

{ 4) g(x) =

, x

(x), x

y

x

-1-

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Worksheet by Kuta Software LLC

{ 5) f (x) =

, x x

, x

y

x

{x ,

7) w(x) =

x,

x x

x , x

y

x

Critical thinking questions:

9) Write a rule for the sign function s(n): s(n) is when n is negative, + when n is

positive, and otherwise.

{x, x

6) h(x) =

,

x

x

y

x

{ x , x

8) w(x) = (x), x

x, x

y

x

10) Write a rule for the function shown.

y

x

-2-

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Worksheet by Kuta Software LLC

Kuta Software - Infinite Precalculus

Piecewise Functions

Sketch the graph of each function.

{ 1) f (x) = x, x x, x y

x

Name___________________________________ Date________________ Period____

{, x

2) f (x) = x, x

x, x

y

x

{x, x

3) f (x) = x , x

x, x

y

x

{ 4) g(x) =

, x

(x), x

y

x

-1-

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Worksheet by Kuta Software LLC

{ 5) f (x) =

, x x

, x

y

x

{x ,

7) w(x) =

x,

x x

x , x

y

x

Critical thinking questions:

9) Write a rule for the sign function s(n): s(n) is when n is negative, + when n is

positive, and otherwise.

{, n

s(n) = , n

, n

{x, x

6) h(x) =

,

x

x

y

x

{ x , x

8) w(x) = (x), x

x, x

y

x

10) Write a rule for the function shown.

y

x

{, x

f (x) = x, x

x, x

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-2-

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Worksheet by Kuta Software LLC

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