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Nonlinear Functions

SAT Math· difficulty 4/5

For which function does the horizontal asymptote NOT exist?

  • A

    y=1xy = \frac{1}{x}

  • B

    y=x+1x−2y = \frac{x + 1}{x - 2}

  • C

    y=x2+1x−1y = \frac{x^2 + 1}{x - 1}

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  • D

    y=2x2+1y = \frac{2}{x^2 + 1}

Explanation

When the numerator's degree exceeds the denominator's degree, there is no horizontal asymptote (an oblique asymptote may exist instead).

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