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Nonlinear Functions

SAT Math· difficulty 4/5

What is the horizontal asymptote of y=3⋅2x−1−5y = 3 \cdot 2^{x - 1} - 5?

  • A

    y=3y = 3

  • B

    y=−5y = -5

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  • C

    y=−1y = -1

  • D

    y=0y = 0

Explanation

As x→−∞x \to -\infty, 2x−1→02^{x-1} \to 0, so y→0−5=−5y \to 0 - 5 = -5.

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