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Determining Concavity

AP Calculus AB· difficulty 2/5

For f(x)=x4f(x) = x^4, f′′(x)=12x2≥0f''(x) = 12 x^2 \ge 0. So ff is

  • A

    Concave up everywhere

    check_circle
  • B

    Linear

  • C

    Has an inflection at x=0x = 0

  • D

    Concave down everywhere

Explanation

f′′≥0f'' \ge 0, with equality only at x=0x = 0 (no sign change), so concave up everywhere.

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