Nonlinear Functions

SAT Math· difficulty 4/5

For f(x)=x1/2f(x) = x^{-1/2} with x>0x > 0, as xx increases, f(x)f(x):

  • A

    Stays constant

  • B

    Increases without bound

  • C

    Decreases toward 0

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  • D

    Increases

Explanation

1/x1/\sqrt{x} decreases to 0 as xx \to \infty.

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