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The peicewise function is .
(a)
\All possible values of for which the function is mathematically correct is the domain of a function.
The domain set is .
Domain in interval notation .
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(b) Find the intercepts.
\Find the -intercept by substituting
.
If the function is
.
Substitute in
.
If then the function is
.
Substitute in
.
The -intercepts are
and
.
Find the -intercept by substituting
.
The functions and
are not defined at
.
The function is defined at
.
The -intercept is
.
(c)
\Draw the table of different values of for
.
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Graph:
\1). Draw a coordinate plane.
\2). Plot the points found in the table and connect the plotted points
\3). Label the intercept points.
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(d)
\All possible values of is range of a function.
Observe the graph: The range of function is .
The range in interval notation .
(e)
\The function is discontinuous at .
\
(a) Domain in interval notation .
(b) Intercepts are and
and
.
(c) Graph of the function :
(d) The range in interval notation .
(e) The function is discontinuous at .