Nonlinear Functions

SAT Math· difficulty 4/5

The graph of polynomial f(x)f(x) has 4 distinct x-intercepts and the end behavior: as x±x \to \pm\infty, f(x)+f(x) \to +\infty. What is the minimum possible degree of f(x)f(x)?

  • A

    33

  • B

    66

  • C

    44

    check_circle
  • D

    55

Explanation

End behavior ++\infty on both ends means even degree with positive leading coefficient. With 4 distinct zeros, the minimum even degree is 4.

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