Step 1:
\(a)
\Find - intercept :
- intercept : The point where
.
Observe the graph for - intercept.
The - intercepts are
and
.
Find - intercept :
- intercept : The point where
.
Observe the graph for - intercept.
The - intercept is
.
Step 2:
\(b)
\All possible values of is the domain of a function.
The domain is or
.
\
Range is the corresponding values of the function for different values of
.
The range is or
.
Step 3:
\(c)
\The function is increasing for all values of between
to
and
to
.
The function is increasing over the interval and
.
The function is decreasing for all values of between
to
and
to
.
The function is decreasing over the interval and
.
Step 4:
\(d)
\If the graph is symmetric about - axis, then it is an even function.
If the graph is symmetric about origin, then it is an odd function.
\The graph is symmetric about - axis, thus it is an even function.
Solution:
\(a) - intercepts :
and
.
- intercept :
.
(b) The domain is or
.
The range is or
.
(c) The function is increasing over the interval and
.
The function is increasing over the interval and
.
(d) Even.
\