(a)

The graph of the polynomial function is eventually rises or falls depends on the leading coefficient and the degree of the polynomial function.

When  is odd and is positive : Graph falls to the left and rises to the right.

The function is .

Here the degree of the function is which is odd number, and the leading coefficient is ,which is positive.

The graph of the function is falls to the left and rises to the right.

(b)

The function is .

Find the zeros and state the multiplicity of any repeated zeros.

The function has zeros at , and .

(c)

Construct a table values of are in its domain of the function.

(d)

Construct a table of values to find ordered pairs that satisfy the function.

Choose values for and find the corresponding values for .

Graph :

Graph the function :

1. Draw a coordinate plane.

2. Plot the coordinate points.

3. Sketch the graph, connect the points to a smooth curve.

(a) 

The graph of the function is falls to the left and rises to the right.

(b)

The function has zeros at , and .

(c)

(d)

Graph of the function is