\
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
.
\
(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.
\\
(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
.