Nonlinear Functions

SAT Math· difficulty 4/5

Which function has y-intercept 6 and decays exponentially?

  • A

    y=6(1/3)xy = 6 \cdot (1/3)^x

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  • B

    y=6xy = 6 - x

  • C

    y=6x1y = 6x^{-1}

  • D

    y=62xy = 6 \cdot 2^x

Explanation

y=6(1/3)xy = 6 (1/3)^x has y(0)=6y(0) = 6 and decays since base <1< 1.

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