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
