(a )
\Observe the graph:
\The -coordinate of a point at which the graph crosses or touches the
-axis is an
-intercept.
The graph touches -axis at
and
.
The -intercepts of the graph is
and
.
The -coordinate of a point at which the graph crosses or touches the
-axis is a
-intercept.
There are no -intercepts.
(b )
\For instance, is on the given graph.
Symmetry about the -axis :
.
is on the graph.
So the graph is symmetric about the -axis.
Symmetry about the -axis :
.
is also on the graph.
So the graph is symmetric about the -axis.
Symmetry about the origin : .
is also on the graph.
So the graph is symmetric about the origin.
\The function is symmetric with respect to the -axis,
-axis and origin.
(a ) Intercepts are and
.
(b ) Symmetric with respect to the -axis,
-axis and origin.