Warm-Up: November 20, 2015  Find all zeros of

Homework Questions?

Quiz: – November 20, 2015  Clear everything off of your desk except pencils, erasers, and your graphing calculator.  Make sure your cell phone is powered off and in your backpack (not pocket).  40 minute time limit  If you appear to be talking, looking at anyone else’s quiz, allowing another student to look at your quiz, or using any unauthorized aide, you will receive a zero.  If your cell phone is seen or heard, it goes to the office and you will receive a zero.  If you finish early, turn in your quiz to Mr. Szwast and work on the assignment due Monday.

Warm-Up: November 30, 2015  Find all zeros of

Homework Questions?

Rational Functions and Their Graphs Section 2.6

Objectives 1. Find the domain of rational functions 2. Use arrow notation 3. Identify vertical asymptotes 4. Identify horizontal asymptotes 5. Graph rational functions 6. Identify slant asymptotes 7. Solve applied problems involving rational functions

Rational Functions  Rational Functions are quotients of polynomial functions  The domain of a rational function is all real numbers except those that cause the denominator to equal 0

Example 1 (like HW #1-8)  Find the domain of

You-Try #1 (like HW #1-8)  Find the domain of

Arrow Notation Example

Vertical Asymptotes

Example 2 (like HW #21-28)  Find the vertical asymptotes, if any, of

You-Try #2 (like HW #21-28)  Find the vertical asymptotes, if any, of

Warm-Up:  Identify any vertical asymptotes of

 Continuing 2.6 notes

Holes

Example of a Hole

Horizontal Asymptotes

Identifying Horizontal Asymptotes

Example 3 (like HW #29-33)  Find the horizontal asymptote, if any, of each function

You-Try #3 (like HW #29-33)  Find the horizontal asymptote, if any, of each function

Assignment  Read Section 2.6  Page 321 #1-8 ALL, odd

Warm-Up: December 1, 2015  Identify any asymptotes (vertical and horizontal) and holes of

Announcement  Mr. Szwast has a meeting today after school with the math department.  If you need to take the quiz, you should do so Wednesday after school in room 410.

Homework Questions

Graphing Rational Functions

Example 4 (like HW #37-58)  Graph

You-Try #4 (like HW #37-58)  Graph

You-Try #5 (like HW #37-58)  Graph

You-Try #6 (like HW #37-58)  Graph

Assignment  Read Section 2.6  Page 321 #37-53 odd  All graphs must be on graph paper, at least one square per unit.

Warm-Up:  Determine any and all asymptotes and holes of:

Homework Questions?

Warm-Up: December 2/3, 2015  Determine any and all asymptotes and holes of:

Homework Questions?

Slant Asymptotes

Example 7 (like HW #59-66)  Find the slant asymptote and graph

You-Try #7 (like HW #59-66)  Find the slant asymptote and graph

Applications of Rational Functions  The average cost of producing an item  Chemical concentrations over time  Used in numerous science and engineering fields to approximate or model complex equations

You-Try #8 (page 322 #70)

Assignment  Read Section 2.6  Page 322 #55-67 odd  All graphs must be on graph paper, at least one square per unit.  You have 20 minutes to work on this assignment, then we will start 2.7.