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Nonlinear Functions

SAT Math· difficulty 3/5

A table shows f(0)=4f(0) = 4, f(1)=12f(1) = 12, f(2)=36f(2) = 36, f(3)=108f(3) = 108. Which model fits?

  • A

    Linear with slope 12

  • B

    Exponential with base 3

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  • C

    Exponential with base 4

  • D

    Linear with slope 8

Explanation

Each output is 3 times the previous, so f(x)=4⋅3xf(x) = 4 \cdot 3^x, base 33.

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