4.5 Rational Functions

Comic of the Day

Tip: It's okay to laugh at math jokes in math class.  You're among your nerd friends now.

Warm Up
a) Graph using intercepts

b) Graph using transformations


Announcements

• Next quiz tentatively scheduled for Mon, Feb 4 (4.5 Rational Functions, 5.1-5.3 Exponential and Logarithmic Functions)
• Next unit exam Wed, Feb 13 (55 minutes, in class)

Today - 4.5 Rational Functions
Notes

Homework
4.5 #1-77 odd

Tomorrow - 5.1 One-to-One and Inverse Functions
Pre-read 5.1

For more information
https://www.khanacademy.org/math/algebra/rational-expressions/rational-function-graphing/v/asymptotes-of-rational-functions
https://www.khanacademy.org/math/trigonometry/polynomial_and_rational/asymptotes-graphing-rational/v/another-rational-function-graph-example
https://www.khanacademy.org/math/trigonometry/polynomial_and_rational/asymptotes-graphing-rational/v/a-third-example-of-graphing-a-rational-function
http://patrickjmt.com/graphing-some-basic-rational-functions-example-1/
http://patrickjmt.com/graphing-a-rational-function-example-1/
http://patrickjmt.com/graphing-a-rational-function-example-2/
http://patrickjmt.com/graphing-a-rational-function-example-3/
http://patrickjmt.com/graphing-a-rational-function-example-4/
http://patrickjmt.com/shortcut-to-find-horizontal-asymptotes-of-rational-functions/
http://patrickjmt.com/finding-vertical-asymptotes-of-rational-functions/
http://patrickjmt.com/finding-slant-asymptotes-of-rational-functions/
http://patrickjmt.com/find-asymptotes-of-a-rational-function-vertical-and-obliqueslant/
http://patrickjmt.com/find-asymptotes-of-a-rational-function-vertical-and-obliqueslant-ex-2/
http://patrickjmt.com/graphing-a-rational-function-that-has-an-obliqueslant-asymptote-and-a-vertical-asymptote/