Nonlinear Functions

SAT Math· difficulty 4/5

The polynomial f(x)=(x2)2(x+1)f(x) = (x-2)^2(x+1) has what graph behavior at x=2x = 2?

  • A

    The graph has a hole at x=2x = 2

  • B

    The graph crosses the x-axis at x=2x = 2

  • C

    The graph has a vertical asymptote at x=2x = 2

  • D

    The graph touches the x-axis at x=2x = 2 and turns around

    check_circle

Explanation

Multiplicity 2 at x=2x = 2 (even multiplicity) means the graph touches the x-axis and turns around.

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