The Rolle's theorem is not applicable to f(x) = \(\left\{ {\begin{array}{*{20}{c}} x\\ {2 - x}, \end{array}\begin{array}{*{20}{c}} {0 \le x \le 1}\\ {1 \le x \le 2} \end{array}} \right.\) on [0, 2] because
1
f(x) is not defined everywhere
2
f(x) is not continuous
3
f(0) ≠ f(2)
4
f(x) is not differentiable