Question

The number of points of non-differentiability for $f\left(x\right)=max\{|x-1|,\frac{1}{2}\}$ is:

• A. $4$
• B. $3$
• C. $2$
• D. $5$

Answer 1

The correct option is C $2$

The graph of $f\left(x\right)=max[|x-1|,\frac{1}{2}]$

From the graph, the number of non differentiable points are $2$