rational functions introduction to rational functions function evaluator and grapher

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

Introduction to Rational Functions

Reciprocal Functions

Horizontal and Vertical Asymptotes

Other Characteristics of Rational Functions

Function Evaluator and Grapher

Reciprocal Functions

INTERACTIVETUTORIAL

Introduction to Rational Functions

Reciprocal Functions

Horizontal and Vertical Asymptotes

Other Characteristics of Rational Functions

Function Evaluator and Grapher

Horizontal and Vertical Asymptotes

INTERACTIVETUTORIAL

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

Function Evaluator and Grapher

Type in the rational function you wish

to evaluate

)(xf

Return to Main Page

Function Evaluator and Grapher

Calculate the Vertical Asymptotes

32

)(xx

xf

Enter the Vertical Asymptote: x = Return to Main Page

Function Evaluator and Grapher

Calculate the x - intercept(s).

32

)(xx

xf

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

Function Evaluator and Grapher

Calculate the y - intercept.

32

)(xx

xf

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

Function Evaluator and Grapher

Calculate the Horizontal Asymptotes

32

)(xx

xf

Enter the horizontal asymptotes: y = Return to Main Page

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+ + ∞

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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

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

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

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

Resources

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