Determining Concavity

AP Calculus AB· difficulty 3/5

x

On the interval shown, f(x)f''(x) is:

  • A

    Always negative

  • B

    Zero everywhere

  • C

    Always positive

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  • D

    Sometimes positive, sometimes negative

Explanation

The curve is concave up everywhere (cup shape), so f>0f''>0.

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