AP Precalculus Flashcards: Rational Functions And Vertical Asymptotes

Study Rational Functions And Vertical Asymptotes in AP Precalculus with focused flashcards that help you recognize the idea, recall the key rule, and apply it in practice-style prompts.

QUESTION

What condition creates a vertical asymptote in a rational function?

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ANSWER

A vertical asymptote occurs where Q(x)=0Q(x) = 0 and P(x)0P(x) \neq 0. Denominator zero with nonzero numerator creates infinite discontinuity.

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AP Precalculus: Polynomial and Rational Functions

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What this deck covers

This deck focuses on Rational Functions And Vertical Asymptotes, giving you a quick way to review the definitions, rules, and examples that matter most for AP Precalculus.

How to use these flashcards

Work through these flashcards in short sessions. Try to answer each prompt before flipping the card, then revisit any cards you miss until the explanation feels automatic.

Practice questions

1 of 25Practice questions for this set
For what value(s) of kk does the rational function f(x)=x+kx25x+6f(x) = \frac{x + k}{x^2 - 5x + 6} have exactly two vertical asymptotes?
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