(a)

The polynomial function is .

The definition of real zeros :.

Thus, the function has no real zeros.

(b)

Find -intercept substitute in function.

The polynomial function is .

Graph neither crosses nor touches the -axis.

(c)

The function has no real zeros.

(d) 

The polynomial function is .

Degree of the polynomial function .

Maximum number of turning points is .

The maximum number of turning points are .

(e)

The polynomial function is .

The polynomial function of degree is .

The function behaves like for large values of .

(a) The function has no real zeros.

(b) Graph neither crosses nor touches the -axis.

(c) The function has no real zeros.

(d) The maximum number of turning points are .

(e) The function behaves like for large values of .