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Nonlinear Functions

SAT Math· difficulty 3/5

Which function is odd?

  • A

    f(x)=x2+1f(x) = x^2 + 1

  • B

    f(x)=x3−xf(x) = x^3 - x

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  • C

    f(x)=x2+xf(x) = x^2 + x

  • D

    f(x)=∣x∣f(x) = |x|

Explanation

Odd functions satisfy f(−x)=−f(x)f(-x) = -f(x). For f(x)=x3−xf(x) = x^3 - x: f(−x)=−x3+x=−(x3−x)=−f(x)f(-x) = -x^3 + x = -(x^3 - x) = -f(x).

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