Question

The function f(x) is given as
$f\left(x\right)=min|x|,|x–2|,2–|x–1|$ the number of points where $f\left(x\right)$ is not differentiable are

• A. One
• B. Five
• C. Seven
• D. Three

Answer 1

The correct option is B Five

$f\left(x\right)=min|x|,|x–2|,2–|x–1|$

So the resulting graph is

So there are five points of non-differentiability
$x=\{-\frac{1}{2},0,1,2,\frac{5}{2}\}$