2. Intro to Derivatives

Determine if the graph of the function $f\left(x\right)$is continuous and/or differentiable at $x=2$.

Determine if the graph of the function $f\left(x\right)$is continuous and/or differentiable at $x=1$.

Determine if the graph of the function $f\left(x\right)$is continuous and/or differentiable at $x=1$.

Determine if the function$f\left(x\right)$ is continuous and/or differentiable at $x=3$.

If f is differentiable at a, must f be continuous at a?

If f is continuous at a, must f be differentiable at a?

Where is the function continuous? Differentiable? Use the graph of f in the figure to do the following. <IMAGE>

b. Find the values of x in (0, 3) at which f is not differentiable.

Use the graph of g in the figure to do the following. <IMAGE>

b. Find the values of x in (-2,2) at which g is not differentiable.