Question

Verify Rolle’s theorem for the function f (x) = x² + 2x – 8, x ∈ [– 4, 2].

Answer 1

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.