Question

The function represented by the following graph is.

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

Answer 1

Answer: (C)

Continuous but not Differentiable at $x=1$

Since there is no discontinuity in the graph so clearly function is continuous,

but is not differentiable at $x=1$, because graph of the function has a sharp point or kink.

Note: The point on the graph of any function where it has a sharp corner or kink, function is not differentiable .