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Nonlinear Functions

SAT Math· difficulty 4/5

A function passes through (0,4)(0, 4) and (2,36)(2, 36). Which exponential model fits?

  • A

    y=4⋅2xy = 4 \cdot 2^x

  • B

    y=4+16xy = 4 + 16x

  • C

    y=4⋅9xy = 4 \cdot 9^x

  • D

    y=4⋅3xy = 4 \cdot 3^x

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Explanation

f(0)=4f(0) = 4 gives a=4a = 4. f(2)=4b2=36⇒b2=9⇒b=3f(2) = 4b^2 = 36 \Rightarrow b^2 = 9 \Rightarrow b = 3.

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