Statement I: For

MATHEMATICS · Subjective · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

Statement I: For

f(x)=\begin{cases}2-x, & x<1\\2-x^2, & x\geq 1\end{cases}

, the Mean Value Theorem is applicable on the interval

[0,1]

. Statement II: For application of the Mean Value Theorem,

f(x)

must be continuous on

[0,1]

and differentiable on

(0,1)