(a )

Observe the graph:

The -coordinate of a point at which the graph crosses or touches the -axis is an -intercept.

There is no -intercepts.

The -coordinate of a point at which the graph crosses or touches the -axis is a -intercept.

There is 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 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.

The function is symmetric with respect to  -axis.

(a ) No intercepts.

(b ) Symmetric with respect to -axis.