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.
Is there an error in this question or solution?
Solution Verify Rolle’S Theorem for the Function F (X) = X2 + 2x – 8, X ∈ [– 4, 2]. Concept: Mean Value Theorem.
