QuestionEvaluate the piecewise function $f$ at $x=3$ to check if it's continuous and differentiable. What is true about $f$ at $x=3$?

Studdy Solution
As we can see, the derivative from the left, $\frac{2}{\sqrt{13}}$, and the derivative from the right, $-49$, at $x=3$ are not equal. Therefore, the function $f$ is not differentiable at $x=3$.
So, the correct statement is $f$ is continuous but not differentiable at $x=3$.