AP Precalculus Flashcards: Rational Functions And End Behavior

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

QUESTION

State the vertical asymptotes for f(x)=1x24x+4f(x) = \frac{1}{x^2 - 4x + 4}.

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ANSWER

Vertical asymptote at x=2x = 2. Perfect square: (x2)2=0(x-2)^2 = 0 gives x=2x = 2.

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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 End Behavior, 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 12Practice questions for this set
In an economic model, the average cost per item (in dollars) is approximated by C(x)=2000+50xxC(x)=\dfrac{2000+50x}{x} for x>0x>0, where xx is the number of items produced. What does limxC(x)\lim_{x\to\infty} C(x) represent, and what is its value?
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