Some questions on the connections between continuity and differentiability. Important for your future, regardless of where life takes you.

1) What criteria must be met for a function to be considered *continuous* at a point where *x=a*?

2) What does it mean for a function to be considered *differentiable *at a point where *x*=*a*?

3) If a function is continuous everywhere, will it always be differentiable everywhere?

4) If a function is differentiable everywhere, will it always be continuous everywhere?

5) If a function is differentiable everywhere, will its derivative always be continuous everywhere?