Graphing Piecewise Functions. Example. Graph the piecewise defined function What is the domain of...

Graphing Piecewise Functions

0 if

0 if3

03 if52

)(

xx

x

xx

xf

Example.Graph the piecewisedefined function

What is the domain of the function?

What is the range of the function?

52 xy

)(xf

x

(0,5)

Example.

0 if

0 if3

03 if52

)(

xx

x

xx

xf

Graph the piecewisedefined function



)(xf

x

52 xy

(-3,-1)

(0,5)

Example.

0 if

0 if3

03 if52

)(

xx

x

xx

xf




)(xf

x(-3,-1)

(0,5)

0 if

0 if3

03 if52

)(

xx

x

xx

xf

Example.Graph the piecewisedefined function



)(xf

x(-3,-1)

(0,5)

(0,-3)

Example.

0 if

0 if3

03 if52

)(

xx

x

xx

xf




)(xf

x(-3,-1)

(0,5)

(0,-3)

Example.

0 if

0 if3

03 if52

)(

xx

x

xx

xf

xy




)(xf

x(-3,-1)

(0,5)

(0,-3)

Example.

0 if

0 if3

03 if52

)(

xx

x

xx

xf




)(xf

x

[-3, ∞)

(-∞,5)

(-3,-1)

(0,5)

(0,-3)

Example.Write the definition of the function with the given graph.

)(xf

x

(-2,4)

(1,1)

(1,4.5)

(6,-3)

61 if62

312 if

)(

2

xx

xxxf

Graphing Piecewise Functions. Example. Graph the piecewise defined function What is the domain of...

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