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Nonlinear Functions

SAT Math· difficulty 3/5

What is the horizontal asymptote of y=2x+1x−4y = \frac{2x + 1}{x - 4}?

  • A

    y=−4y = -4

  • B

    y=14y = \frac{1}{4}

  • C

    y=2y = 2

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  • D

    y=0y = 0

Explanation

For rational functions where numerator and denominator have equal degrees, the horizontal asymptote is the ratio of leading coefficients: y=21=2y = \frac{2}{1} = 2.

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