Question

The number of points at which the function f \left(x\right)=max \left\\{a-x, a+x, b\right\\}, -\infty, 0 < a < b cannot be differentiable

• A. $0$
• B. $1$
• C. $2$
• D. $3$

Answer 1

Answer: (C)

$2$

Answer 2

Possible graph of $f(x)$ is as shown. There are to sharp turn, Hence $f(x)$ cannot be differentiable at two point