Exercises for Question Type 1: Finding the horizontal and vertical asymptotes of simple rational functions - IB | RevisionDojo

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Question Type 1: Finding the horizontal and vertical asymptotes of simple rational functions

Question Type 1: Finding the horizontal and vertical asymptotes of simple rational functions Exercises

Question 1

Find the horizontal and vertical asymptotes of $f(x) = \frac{4x^3 - x}{2x^3 + 5}$

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Question 2

Find the horizontal and vertical asymptotes of $f(x) = \frac{2x}{x^2 - 1}$ .

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Question 3

Find the horizontal and vertical asymptotes of $f(x) = \frac{3x^2 + 1}{x^2 - 4}$

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Question 4

Find the horizontal and vertical asymptotes of $f(x) = \frac{x + 2}{x - 3}$ .

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Question 5

Find the horizontal and vertical asymptotes of $f(x) = \frac{x^2 - 9}{x^2 + 3x - 10}$ .

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Question 6

Find the horizontal and vertical asymptotes of $f(x) = \frac{5x + 8}{7x + 9}$

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Question 7

Find the horizontal and vertical asymptotes of $f(x) = \frac{2x^2 - 5x + 3}{4x^2 + x - 2}$ .

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Question 8

Find the horizontal and vertical asymptotes of $f(x) = \frac{4}{x + 5}$

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Question 9

Find the horizontal and vertical asymptotes of $f(x) = \frac{-3x^4 + 2}{x^4 - 16}$

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Question 10

Find the horizontal and vertical asymptotes of $f(x) = \frac{6x - 4}{2x + 3}$

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Question 11

Find the horizontal and vertical asymptotes of $f(x) = \frac{x^2 + 2x + 1}{x^2 - 1}$

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Question 12

Find the horizontal and vertical asymptotes of $f(x) = \frac{5x^2 + 2x - 1}{3x^2 - 12}$

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