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Nonlinear Functions

SAT Math· difficulty 3/5

Which function eventually grows fastest as x→∞x \to \infty?

  • A

    g(x)=x3g(x) = x^3

  • B

    f(x)=100xf(x) = 100x

  • C

    k(x)=50xk(x) = 50\sqrt{x}

  • D

    h(x)=2xh(x) = 2^x

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Explanation

Exponential functions outgrow any polynomial as x→∞x \to \infty.

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