5.4 rational functions.notebook - tucson unified school ...edweb.tusd1.org/emcdonald/documents/5.4...

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5.4 Rational Functions.notebook 1 January 13, 2014 Jan 78:03 AM Bellwork: 1/10/14 Jan 78:04 AM Rational Functions We will... Graph rational functions. Transform rational functions by changing parameters. Jan 78:04 AM Parent Function f(x)= hyperbola asymptote Jan 89:34 AM Jan 78:04 AM Jan 78:04 AM

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Page 1: 5.4 Rational Functions.notebook - Tucson Unified School ...edweb.tusd1.org/emcdonald/Documents/5.4 Rational Functions 2.pdf · 5.4 Rational Functions.notebook 3 January 13, 2014 Jan

5.4 Rational Functions.notebook

1

January 13, 2014

Jan 7­8:03 AM

Bellwork: 1/10/14

Jan 7­8:04 AM

Rational FunctionsWe will...

Graph rational functions.

Transform rational functions by changing parameters.

Jan 7­8:04 AM

Parent Function

f(x)=

hyperbolaasymptote

Jan 8­9:34 AM

Jan 7­8:04 AM Jan 7­8:04 AM

Page 2: 5.4 Rational Functions.notebook - Tucson Unified School ...edweb.tusd1.org/emcdonald/Documents/5.4 Rational Functions 2.pdf · 5.4 Rational Functions.notebook 3 January 13, 2014 Jan

5.4 Rational Functions.notebook

2

January 13, 2014

Jan 10­9:25 AM Jan 10­11:40 AM

Jan 7­8:04 AM Jan 7­8:04 AM

Jan 7­8:04 AM

discontinuous 

function

continuous 

function

Jan 7­8:04 AM

f(x)=

Page 3: 5.4 Rational Functions.notebook - Tucson Unified School ...edweb.tusd1.org/emcdonald/Documents/5.4 Rational Functions 2.pdf · 5.4 Rational Functions.notebook 3 January 13, 2014 Jan

5.4 Rational Functions.notebook

3

January 13, 2014

Jan 13­7:42 AM

Bellwork: 1/13/14Describe the transformations and identify the asymptotes:

1) 2)

Jan 7­8:12 AM

Zeros and Vertical Asymptotes

Jan 13­8:29 AM Jan 7­8:12 AM

Jan 13­8:41 AM Jan 7­8:12 AM

Horizontal Asymptote

Page 4: 5.4 Rational Functions.notebook - Tucson Unified School ...edweb.tusd1.org/emcdonald/Documents/5.4 Rational Functions 2.pdf · 5.4 Rational Functions.notebook 3 January 13, 2014 Jan

5.4 Rational Functions.notebook

4

January 13, 2014

Jan 7­8:12 AM Jan 13­8:53 AM

Jan 13­9:01 AM Jan 7­8:12 AM

Jan 7­8:12 AM

Holes in a graph

Jan 7­8:12 AM