Lesson Plan: Horizontal and Vertical Asymptotes of a Function Mathematics

This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to find the horizontal and vertical asymptotes of a function.


Students will be able to

  • find vertical asymptotes by considering points where the denominator of a function equals zero,
  • find horizontal asymptotes by considering values that a function cannot take,
  • use asymptotes to find the domain and range of a function,
  • use asymptotes to sketch the graph of a function.


Students should already be familiar with

  • polynomial factorization,
  • simplifying algebraic fractions,
  • curve sketching.


Students will not cover

  • asymptotic behavior of functions in terms of limits.

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