Oblique asymptotes of rational functions

Oblique asymptotes of rational functions Quiz

Spec D13 · AQA A-Level Further Maths: Quiz

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  1. 1. Find the oblique asymptote of y=x2+3x+1x+1y=\frac{x^2+3x+1}{x+1}.

    • A. y=x+1y=x+1
    • B. y=x+2y=x+2
    • C. y=x+3y=x+3
    • D. y=xy=x

  2. 2. How many asymptotes does y=x2−1x−2y=\frac{x^2-1}{x-2} have?

    • A. 00
    • B. 11
    • C. 33
    • D. 22

  3. 3. Find the oblique asymptote of y=3x2+1xy=\frac{3x^2+1}{x}.

    • A. y=3xy=3x
    • B. y=3x+1y=3x+1
    • C. y=xy=x
    • D. y=3y=3

  4. 4. Which function has an oblique asymptote?

    • A. x2+1x2−1\frac{x^2+1}{x^2-1}
    • B. x3x+1\frac{x^3}{x+1}
    • C. x2+1x−3\frac{x^2+1}{x-3}
    • D. x+1x2+1\frac{x+1}{x^2+1}

  5. 5. y=x2+x−6x−1y=\frac{x^2+x-6}{x-1} has oblique asymptote y=x+2y=x+2. For x<1x<1, where is the curve relative to it?

    • A. Below it
    • B. Above it
    • C. On it
    • D. It crosses it

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