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Question
Verify Rolle’s theorem for the function f (x) = x2 + 2x – 8, x ∈ [– 4, 2].
Solution
The given function,f (x) = x2 + 2x – 8, being a polynomial function, is continuous in [−4, 2] and is differentiable in (−4, 2).
Hence, Rolle’s Theorem is verified for the given function.
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