1. If possible, give an example of where a function is differentiable at a point but not continuous at that point.

2. If possible, give an example of where a function is continuous at a point but not differentiable at that point.

3. Without a graph, how can one show differentiability of a function at a point?

4. Where is the function g(x) = 3x 2 - x + 5 differentiable?

5. Explain why the definition of a numerical derivative does not exist at x = 2 in the graph shown.

6. Explain why the definition of a numerical derivative does not exist at x = 2 in the graph shown.

4-X, X50 10) Determine if the function y(x) = is differentiable at x = 0. 3x, x30