(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.

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 on the graph.

So the graph is symmetric about the origin.

The function is symmetric with respect to the origin.

(a ) Intercepts are  is , and .

(b ) Symmetric with respect to the origin.