Mean Value Theorem and Extreme Value Theorem

AP Calculus AB· difficulty 2/5

The Extreme Value Theorem guarantees absolute max and min for

  • A

    Any function on any interval

  • B

    Differentiable functions on open intervals

  • C

    Polynomial functions on R\mathbb{R}

  • D

    Continuous functions on closed intervals

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Explanation

EVT: continuous on closed bounded interval ⇒ attains absolute extrema.

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