Continuity and differentiability are important conditions in many theorems in Calculus. One such important theorem is called the Mean Value Theorem.It tells us, under certain conditions, that there is a location where the instantaneous rate of change will equal the average rate of change.If f(x) is continuous on [a, b] and differentiable on (a, b), then there exists a number c, with a < c < b such that f'(c)Determine which functions appear to satisfy the conditions of the Mean Value Theorem on the given interval.(i) f(x) = |x-5|x²(ii)x+6(iii)g(x):=h(x)f10Xon the interval 4 ≤ x ≤ 11on the interval -5 ≤ x ≤ 6on the interval 0 ≤ x ≤ 10---Select-----Select------Select---=f(b) – f(a).b-a

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Continuity and differentiability are important conditions in many theorems in Calculus. One such important theorem is called the Mean Value Theorem. It tells us, under certain conditions, that there is a location where the instantaneous rate of change will equal the average rate of change. b-a If f(x) is continuous on [a, b] and differentiable on (a, b), then there exists a number c, with a < c < b such that f'(c) = f(b) = f(a). Determine which functions appear to satisfy the conditions of the Mean Value Theorem on the given interval. (i) f(x) = |x-5| (ii) x² x+6 g(x) = پر h(x) 10 x on the interval 4 ≤ x ≤ 11 on the interval -5 ≤ x ≤ 6 on the interval 0 ≤ x ≤ 10 ---Select--- ---Select--- ---Select---