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Nonlinear Functions

SAT Math· difficulty 4/5

Which polynomial has end behavior such that f(x)→+∞f(x) \to +\infty as x→−∞x \to -\infty and f(x)→−∞f(x) \to -\infty as x→+∞x \to +\infty?

  • A

    f(x)=x4−2x2f(x) = x^4 - 2x^2

  • B

    f(x)=−x3+2x2f(x) = -x^3 + 2x^2

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  • C

    f(x)=x3−2x2f(x) = x^3 - 2x^2

  • D

    f(x)=−x4+2x2f(x) = -x^4 + 2x^2

Explanation

Need odd degree with negative leading coefficient. f(x)=−x3+2x2f(x) = -x^3 + 2x^2 qualifies.

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