Verify Rolle’s Theorem for the function f (x) =x^2 +2x-8,x € [-4,2]

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asked Jan 19, 2018 in Mathematics by sforrest072 (157,439 points) 60 409 933

Verify Rolle’s Theorem for the function f (x) =x2 +2x-8,x € [-4,2]

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answered Jan 19, 2018 by mdsamim (213,225 points) 5 10 15
selected Jan 19, 2018 by sforrest072
 
Best answer

The given function, f (x) = x2+2x-8, being a polynomial function, is continuous in [−4, 2] and is differentiable in (−4, 2).

Rolle’s Theorem states that there is a point c ∈ (−4, 2) such that f'(c)=0

Hence, Rolle’s Theorem is verified for the given function.

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