Plotting (& not plotting) Asymptotes in Mathematica

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  • Thread starter Thread starter Stroodle
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    Mathematica Plotting
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SUMMARY

This discussion focuses on plotting graphs in Mathematica while managing asymptotes. To prevent the display of vertical asymptotes for equations like y=\frac{a}{x-h}+k, users should utilize the option Exclusions->h. Additionally, horizontal or diagonal asymptotes can be represented by directly plotting them alongside the main graph. These techniques enhance the clarity of mathematical visualizations in Mathematica.

PREREQUISITES
  • Familiarity with Mathematica 12.0 or later
  • Understanding of asymptotic behavior in functions
  • Basic knowledge of plotting functions in Mathematica
  • Experience with graphing equations
NEXT STEPS
  • Explore the use of Exclusions in Mathematica for advanced graphing techniques
  • Learn how to plot multiple functions simultaneously in Mathematica
  • Investigate the representation of asymptotes in other graphing software
  • Study the mathematical principles behind horizontal and vertical asymptotes
USEFUL FOR

Mathematics students, educators, and anyone using Mathematica for graphing functions and visualizing asymptotic behavior.

Stroodle
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Hi.

I'm just starting to learn how to use Mathematica, and I'd like to know if there's a way to plot a graph of an equation, such
as y=\frac{a}{x-h}+k without it showing the vertical asymptote

I would also like to know if there's a way to show the horizontal asymptote on the graph.

Thanks for your help
 
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To turn off the vertical asymptote use the option Exclusions->h

To show a horizontal or diagonal asymptote simply plot it.
 
Awesome. Thanks for your help.
 

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