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Nonlinear Functions

SAT Math· difficulty 4/5

Which function is odd?

  • A

    f(x)=x5−4f(x) = x^5 - 4

  • B

    f(x)=x5−4x2f(x) = x^5 - 4x^2

  • C

    f(x)=x5−4xf(x) = x^5 - 4x

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  • D

    f(x)=x4−4f(x) = x^4 - 4

Explanation

All terms have odd powers of xx, so f(−x)=−f(x)f(-x) = -f(x).

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