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Polynomial and Rational Functions · Term 1

Graphing Rational Functions: Holes and Intercepts

Students locate holes, x-intercepts, and y-intercepts of rational functions and sketch complete graphs.

Key Questions

  1. Explain under what conditions a rational function produces a point of discontinuity rather than a vertical asymptote.
  2. Compare the process of finding x-intercepts for polynomial functions versus rational functions.
  3. Design a rational function that has specific holes and asymptotes.

Ontario Curriculum Expectations

HSF.IF.C.7d
Grade: Grade 12
Subject: Mathematics
Unit: Polynomial and Rational Functions
Period: Term 1

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