(a )
\Observe the graph:
\The
-coordinate of a point at which the graph crosses or touches the
-axis is an
-intercept.
There are no
-intercepts.
The
-coordinate of a point at which the graph crosses or touches the
-axis is a
-intercept.
The graph touches
-axis at
.
The
-intercepts of the graph is
.
(b )
\For instance
is on the given graph.
Symmetry about the
-axis :
.
is not on the graph.
So the graph is not symmetric about the
-axis.
Symmetry about the
-axis :
.
is on the graph.
So the graph is symmetric about the
-axis.
Symmetry about the origin :
.
is not on the graph.
So the graph is not symmetric about the origin.
\The function is symmetric with respect to
-axis.
(a )
-intercept is
.
(b ) Symmetric with respect to the
-axis.