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Section 4.8 : Rational Functions

Sketch the graph of each of the following functions. Clearly identify all intercepts and asymptotes.

  1. \( \displaystyle f\left( x \right) = \frac{{ - 4}}{{x - 2}}\) Solution
  2. \( \displaystyle f\left( x \right) = \frac{{6 - 2x}}{{1 - x}}\) Solution
  3. \( \displaystyle f\left( x \right) = \frac{8}{{{x^2} + x - 6}}\) Solution
  4. \( \displaystyle f\left( x \right) = \frac{{4{x^2} - 36}}{{{x^2} - 2x - 8}}\) Solution