Ononot — Let f be differentiable on [0,1] with f'(0) = -2 and f'(1) =

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Limits & Continuityhard

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Let $f$ be differentiable on $[0,1]$ with $f'(0) = -2$ and $f'(1) = 3$ . Darboux's theorem states that the derivative $f'$ satisfies the intermediate value property on $[0,1]$ , even if $f'$ is not continuous. Which of the following are GUARANTEED?