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Nonlinear Functions

SAT Math· difficulty 5/5

For f(x)=(x−1)4(x+2)f(x) = (x - 1)^4 (x + 2), what is the behavior at x=1x = 1?

  • A

    Standard crossing

  • B

    Crosses with inflection

  • C

    Crosses with vertical tangent

  • D

    Touches and turns; does not cross

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Explanation

Multiplicity 4 (even) at x=1x = 1 means the graph touches the x-axis and turns around without crossing.

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