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Nonlinear Functions

SAT Math· difficulty 5/5

What is the horizontal asymptote of y=−2⋅5x+7y = -2 \cdot 5^{x} + 7?

  • A

    y=−2y = -2

  • B

    y=−7y = -7

  • C

    y=5y = 5

  • D

    y=7y = 7

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Explanation

As x→−∞x \to -\infty, 5x→05^x \to 0, so y→0+7=7y \to 0 + 7 = 7.

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