30.

1st: Define the word intermediate.

2nd: State the Intermediate Value Theorem in words.

3rd: Comment on whether or not this is a good name for this theorem.

4th: Explain how it can help find zeros or roots of a polynomial.

31. Write notes with pictures and examples on the term "end behavior."

32. Decompose, factor, the polynomial

32a. State the linear factors.

32b. State the quadratic factors.

32c. State the end behavior of the function when x approaches negative infinity.

32d. State the end behavior of the function when x approaches positive infinity.

32e. Sketch the graph.

34. Accurately sketch the graph of .

35.

35a. What is a rational function?

35b. What's a vertical asymptote?

35c. What's a horizontal asymptote?

35d. What's an oblique asymptote?

35d. Use words and a sketch to answer each question.

36. Create and state your own rational function with the following characteristics.

It has one discontinuity (hole).

It has a vertical asymptote at x=5.

It has an x-intercept at -3.

If it has any other asymptotoes, state their equations.