Polynomial and Rational Functions · Algebraic Thinking

Rational Functions and Discontinuity

Investigating how the ratio of two polynomials creates complex graphical features like holes and asymptotes.

Key Questions

  1. 1Under what conditions does a rational function produce a point of discontinuity rather than a vertical asymptote?
  2. 2How do the degrees of the numerator and denominator determine the existence of horizontal or oblique asymptotes?
  3. 3In what ways can rational functions model real world constraints that linear functions cannot?

Ontario Curriculum Expectations

ON: Polynomial and Rational Functions - Grade 12
Grade: Grade 12
Subject: Mathematics
Unit: Polynomial and Rational Functions
Period: Algebraic Thinking

Suggested Methodologies

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