Solve and Graph Rational Functions and Expressions using the
Personal Algebra Tutor ®

Given Rational Expression or Function:

- Find Vertical and Horizontal Asymptotes, Zeros, Domain, Range, Holes, Graph Function

Main Screen:
Graph Rational Expressions

  1. In Task Box, select
    Rational Expressions - Graph f(x)

  2. Click Get Graph Data button
Takes you to the
InputEditor screen

Input Editor: Enter function.

  1. Click in Input text box.
    Enter function

  2. Click OK button
Takes you to the PAT Processor screen (not shown)
where the function is factored.

Then takes you to the:
WinPAT Graph Paper

Graph Paper screen

  1. Click Plot It button
    to draw graph

  2. Note Factored Expression

  3. Click on Explanation button.

  4. Print Graph if desired

Results

  • Function is graphed.

Graphing Explanation Screen

Results

  • Function is graphed.

  • Vertical Asymptotes

  • Domain

  • Horizontal Asymptotes.

  • Zeros

  • Intercepts.

  • Holes