1. Consider the inequality x^2 - 4x -3

A) Draw a graph to help you solve this inequality.

B) Use the graph to solve the inequality. Note that you may need to do a little algebraic work as well.

C) Provide a brief description of how you used your graph to solve the inequality.

2. Draw the graph of a polynomial function f(x) that has the following properties

• The function has local maxima at (-4,1) and (5,2) (these do not have to be the only local maxima).
• The function has a local minimum at (0, 3) (this does not have to be the only local minimum.
• As x -> , f(x) -> -.
• As x -> -, f(x) -> -.