(a )
\Observe the graph :
\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
.
The
-coordinate of a point at which the graph crosses or touches the
-axis is a
-intercept.
The graph touches
-axis at
.
The
-intercept 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 not on the graph.
So the graph is not symmetric about the
-axis.
Symmetry about the origin :
.
is not on the graph.
So the graph is not symmetric about the origin.
\There is no symmetry for this function.
\ \(a ) Intercepts are is
and
.
(b ) No symmetry.