Observe the graph.

(a)

A function is said to be even if it graph of the function whose end behaviour is in between quadrant .

The degree of polynomial is even because the graph of the function has end behaviour is in between quadrant .

(b)

The graph of the functions rises to the left and right, hence leading coeffient is positive.

(c) 

The function is even function, There the graph shown -axis.

If it is a symmetry about the origin that is, if start at a point on the graph on one side of the -axis, and draw a line from that point through the origin and extending the same length on the other side of the -axis.

The function is even function.

(d)

is a factor of polynomial when - intercepts is .

(e)

The minimum degree of the polynomial function is find,

Because of the function is turns on seven times,So turn of the graph and add one.

The degree of the function is .

The minimum degree of the polynomial function is .

(f)

The example of the functions  are

(a) The degree of polynomial is even.

(b) The leading coeffient is positive.

(c) The function is even function.

(d) is a factor of polynomia.

(e)The minimum degree of the polynomial function is .

(f)

The example of the functions  are