rational functions introduction to rational functions function evaluator and grapher

Rational Functions

Introduction to Rational Functions

Function Evaluator and Grapher


Reciprocal Functions

Horizontal and Vertical Asymptotes

Other Characteristics of Rational Functions








INTERACTIVETUTORIAL


Type in the rational function you wish

to evaluate

)(xf

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Calculate the Vertical Asymptotes

32

)(xx

xf

Enter the Vertical Asymptote: x = Return to Main Page


Calculate the x - intercept(s).

32

)(xx

xf

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


Calculate the y - intercept.

32

)(xx

xf

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


Calculate the Horizontal Asymptotes

32

)(xx

xf

Enter the horizontal asymptotes: y = Return to Main Page


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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Plan out the graph

32

)(xx

xf

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


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


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

rational functions introduction to rational functions function evaluator and grapher

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