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?

• calculus -

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

• calculus -

Can you please explain why it is true

• 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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