calculus

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If f(1) > 0 and f(3) < 0, then there exists a number c between 1 and 3 such that f(c) = 0. Is this true or false?

Please and thank you

  • calculus -

    Absolutely true, uuuuhhh, if f(x) is continuous.

  • calculus -

    Can you please explain why it is true

    Please and Thank you

  • calculus -

    If the curve is continuous, and at x=1 f(x) is positive, and at x=3, f(x) is negative, somewhere it crossed the axis.

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