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Rational Functions Introduction to Rational Functions Function Evaluator and Grapher
16

Rational Functions

Jan 21, 2016

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Rational Functions. Introduction to Rational Functions. Function Evaluator and Grapher. Introduction to Rational Functions. Reciprocal Functions. Horizontal and Vertical Asymptotes. Other Characteristics of Rational Functions. Function Evaluator and Grapher. - PowerPoint PPT Presentation
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Page 1: Rational Functions

Rational Functions

Introduction to Rational Functions

Function Evaluator and Grapher

Page 2: Rational Functions

Introduction to Rational Functions

Reciprocal Functions

Horizontal and Vertical Asymptotes

Other Characteristics of Rational Functions

Function Evaluator and Grapher

Page 3: Rational Functions

Introduction to Rational Functions

Reciprocal Functions

Horizontal and Vertical Asymptotes

Other Characteristics of Rational Functions

Function Evaluator and Grapher

Reciprocal Functions

INTERACTIVETUTORIAL

Page 4: Rational Functions

Introduction to Rational Functions

Reciprocal Functions

Horizontal and Vertical Asymptotes

Other Characteristics of Rational Functions

Function Evaluator and Grapher

Horizontal and Vertical Asymptotes

INTERACTIVETUTORIAL

Page 5: Rational Functions

Introduction to Rational Functions

Reciprocal Functions

Horizontal and Vertical Asymptotes

Other Characteristics of Rational Functions

Function Evaluator and Grapher

Other Characteristics of Rational Functions

INTERACTIVETUTORIAL

Page 6: Rational Functions

Function Evaluator and Grapher

Type in the rational function you wish

to evaluate

)(xf

Return to Main Page

Page 7: Rational Functions

Function Evaluator and Grapher

Calculate the Vertical Asymptotes

32

)(xx

xf

Enter the Vertical Asymptote: x = Return to Main Page

Page 8: Rational Functions

Function Evaluator and Grapher

Calculate the x - intercept(s).

32

)(xx

xf

Enter the x-intercept: y = Return to Main Page

Page 9: Rational Functions

Function Evaluator and Grapher

Calculate the y - intercept.

32

)(xx

xf

Enter the y – intercept. y = Return to Main Page

Page 10: Rational Functions

Function Evaluator and Grapher

Calculate the Horizontal Asymptotes

32

)(xx

xf

Enter the horizontal asymptotes: y = Return to Main Page

Page 11: Rational Functions

Function Evaluator and Grapher

Put a checkmark on the values of x that

should be evaluated.

32

)(xx

xf

- ∞ - 3- -3+ - 2- -2 + 3- 3+ + ∞

Return to Main Page

Page 12: Rational Functions

Function Evaluator and Grapher

Plan out the graph

32

)(xx

xf

- ∞ - 3- -3+ - 2- -2 + 3- 3+ + ∞ 1+ X X + ∞ - ∞ X X 1 -Return to Main Page

Page 13: Rational Functions

Function Evaluator and Grapher

Drag and Drop the labels on the graph.

32

)(xx

xf

f(x)=(x - 2) / (x + 3)

-8 -6 -4 -2 2 4 6 8

-8

-6

-4

-2

2

4

6

8

x

y

y = 1 y = 32

x = -3 x = 2Return to Main Page

Page 14: Rational Functions

Function Evaluator and Grapher

Drag and Drop the labels on the graph.

32

)(xx

xf

f(x)=(x - 2) / (x + 3)

-8 -6 -4 -2 2 4 6 8

-8

-6

-4

-2

2

4

6

8

x

y

y = 1

y = 32

x = -3

x = 2

Return to Main Page

Page 15: Rational Functions

f(x)=(x - 2) / (x + 3)

-8 -6 -4 -2 2 4 6 8

-8

-6

-4

-2

2

4

6

8

x

y

y = 1

y = 32

x = -3

x = 2

32

)(xx

xf

Return to Main Page

Page 16: Rational Functions

Resources

• http://flang1.kendall.mdc.edu/6/611/611pathsnew/L611Lec1Act1/lady_news_anchor_hg_clr.gif