Instructions:

Provide complete, neat, and organized solutions for full marks.

Give exact answers where appropriate.

Complete each question on a separate sheet of paper.

To determine the -intercepts for your polynomial function, use the factor theorem for full marks.

Show all the steps for determining the first and second derivative for your rational function.

Technology may be needed to determine the roots for the second derivative of your rational function. Use the algorithm for curve sketching to sketch your graphs