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Exam Strategy

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Pre-calculus · AP · Polynomial and Rational Functions

CED focus

Rates of Change

This topic is assessed on the AP Exam.

Multiple-choice tips

  • Factor or rewrite before choosing a limit or asymptote answer.
  • Eliminate MC choices that ignore holes vs vertical asymptotes.
  • Check end behavior signs from leading terms, not only a calculator window.
  • On rational items, test whether cancellation changes the graph (removable discontinuity).

Free-response tips

  • State domain restrictions and asymptote locations before graphing.
  • Show factoring or long division that reveals holes and end behavior.
  • Label intercepts and asymptotes on a sketch; connect to the equation.
  • Interpret zeros and asymptotes in context when the stem is applied.

Common traps

  • Treating every canceled factor as an asymptote instead of a hole
  • Confusing far-left/far-right behavior with local max/min
  • Using a calculator graph without stating algebraic end behavior

Quick checklist

  • [ ] Can state domain and asymptote locations for one rational example
  • [ ] Can factor or divide to expose a hole
  • [ ] Can explain end behavior from leading terms

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