f(x) = $\begin{cases} 2a - x & \text{when } x < a \\ a & \text{when } x \geq a \end{cases}$ . Then which of the following is true?

Question

f(x) is not differentiable at $x = a$.

f(x) is discontinuous at $x = a$.

f(x) is continuous for all $x < a$.

f(x) is differentiable for all $x \geq a$.

Please login to view the detailed solution steps...