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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
What is the domain of the function?
What is the range of the function?
)(xf
x
52 xy
(-3,-1)
(0,5)
Example.
0 if
0 if3
03 if52
)(
xx
x
xx
xf
Graph the piecewisedefined function
What is the domain of the function?
What is the range of the function?
)(xf
x(-3,-1)
(0,5)
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?
)(xf
x(-3,-1)
(0,5)
(0,-3)
Example.
0 if
0 if3
03 if52
)(
xx
x
xx
xf
Graph the piecewisedefined function
What is the domain of the function?
What is the range of the function?
)(xf
x(-3,-1)
(0,5)
(0,-3)
Example.
0 if
0 if3
03 if52
)(
xx
x
xx
xf
xy
Graph the piecewisedefined function
What is the domain of the function?
What is the range of the function?
)(xf
x(-3,-1)
(0,5)
(0,-3)
Example.
0 if
0 if3
03 if52
)(
xx
x
xx
xf
xy
Graph the piecewisedefined function
What is the domain of the function?
What is the range of the function?
)(xf
x(-3,-1)
(0,5)
(0,-3)
Example.
0 if
0 if3
03 if52
)(
xx
x
xx
xf
xy
Graph the piecewisedefined function
What is the domain of the function?
What is the range of the function?
)(xf
x(-3,-1)
(0,5)
(0,-3)
Example.
0 if
0 if3
03 if52
)(
xx
x
xx
xf
Graph the piecewisedefined function
What is the domain of the function?
What is the range of the function?
)(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