Appendix
A-9: Graphing
Example A-9.9
Graph fx=xx−1, showing both its horizontal and vertical asymptotes.
Solution
Maple Solution - Interactive
A graph obtained from the Plot Builder, for example, or through any of Maple's ordinary graphing tools will not display the vertical asymptote x = 1 or the horizontal asymptote y = 1.
The most robust interactive tool for graphing a rational function and its asymptotes is found at
Tools≻Tasks≻Browse: Algebra≻Rational Function - Graph and Asymptotes
This task template accepts a rational function, and provides the equations of any of its asymptotes. There is also a button that launches the Rational Functions tutor in which the appropriate graph, with asymptotes, is drawn. When this tutor is closed, the graph is returned to the underlying task template.
Rational Function Tutor
Enter a rational function PxQx:
Asymptotes
Horizontal
Oblique
Vertical
Plot
Maple Solution - Coded
Use the RationalFunctionPlot command as shown to the right.
StudentPrecalculusRationalFunctionPlotxx−1
The RationalFunctionPlot command will draw the required graph, but it will not provide the equations of the asymptotes. The tutor in the Student Precalculus package will.
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