Objective: Graph rational functions. Identify slant asymptotes.

Example 1Analyze the function of

a. Domainb. Rangec. Symmetryd. End behavior.

Example 2Graph

a.

b.

c.

Example 3Graph

a.

b.

Slant Asymptotes: Degree of numerator is greater. Divide numerator by denominator. ( y = mx+b form).

Example 4Find the slant asymptotes.

a.

b.

Continuation of previous lesson (10/18/12)

Example 5Sketch the graphs. Include asymptotes, intercepts, tables of values used.

a.

b.

Homework Check

1. Pg 324 # 222. Pg 324 # 443. Pg 335 # 14 a only4. Pg 354 # 125. Pg 354 # 266. Pg 355 # 42COLLECTING WORKSHEET 10/15/12 (SUBSTITUTE)

Notebook Check #11. 09/05/12_______ Obj: Graph piecewise functions. Linear functions and

slope as rate of change. (wkst)

2. 09/12/12______Obj: Find domain of functions. Combine functions. (Example 3 d)

3. 09/24/12_______ Major concepts (wkst)

4. 10/01/12_______Obj: Graph quadratic functions. Determine a quadratic function minimum or maximum value. (wkst)

5. 10/08/12 _______obj: Use long or synthetic division to divide polynomials. (Example 3b)

6. 10/09/12_______Obj: Use rational zero theorem. (Example 4 b)