2.5 Piecewise Functions

Continuous or Discontinuous?

Graphing Piecewise Functions

2 1 2

( ) 2 2

2 3 2

x if x

f x x if x

x if x

6

4

2

-2

-4

-5 5Domain:Range:Intercepts:

Graphing Piecewise Functions

2

1 1 1

( ) 2 1

1

x if x

f x if x

x if x

6

4

2

-2

-5 5

Domain:Range:Intercepts:

Graphing Piecewise Functions

0( )

0

x if xf x

x if x

6

4

2

-2

-4

-5 5Domain:Range:Intercepts:

Assignmentp. 115 # 25 - 26, 29 - 38

Graphing Piecewise Functions

2 1 2

( ) 2 2

2 3 2

x if x

f x x if x

x if x

Domain:Range:Intercepts:

6

4

2

-2

-4

-6

-5 5{ | }x x{ | 2}y y (0,0)

Graphing Piecewise Functions

2

1 1 1

( ) 2 1

1

x if x

f x if x

x if x

6

4

2

Domain:Range:Intercepts:

{ | 1}x x{ | 0}y y

(0,1)

Graphing Piecewise Functions

0( )

0

x if xf x

x if x

Domain:Range:Intercepts:

6

4

2

-2

-4

-5 5