i. clearly and completely state 1. the definition of continuity of a function at and how to use this definition in a problem. 2. the formal definition of , the derivative of a function . 3. the definition of a critical value of a function and how to tell whether the function has a local minimum, a local maximum, or neither at each of its critical values. 4. how to tell where a function is increasing and where it is decreasing. 5. how to tell where a function is concave upward or concave downward. 6. how to locate possible inflection points of a function and to determine whether a function really has an inflection point at each possible inflection point. 7. the fundamental theorem of calculus. why is this theorem so important?