Question

The function represented by the following graph is

• A. Differentiable but not continuous at x = 1
• B. Neither continuous nor differentiable at x = 1
• C. Continuous but not differentiable at x = 1
• D. Continuous and differentiable at x = 1

Answer 1

Answer: (C)

Given, graph is a function of
$f(x)=|x-1|$
It is clear from the graph that their is no break in the graph, it shows that it is continuous.
Also, their a sharp edge at point $A$, so it is not differentiable at $x=1$