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Nonlinear Functions

SAT Math· difficulty 3/5

A table gives f(0)=3f(0) = 3, f(1)=6f(1) = 6, f(2)=12f(2) = 12, f(3)=24f(3) = 24. Which best describes the function?

  • A

    Quadratic

  • B

    Linear, slope 3

  • C

    Constant

  • D

    Exponential, base 2

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Explanation

Each value doubles, so exponential with base 22: f(x)=3⋅2xf(x) = 3 \cdot 2^x.

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