chap. 3 basic ideas

Question 1

What are absolute extrema?

Answer 1

The y-values that are greater or less than the y-val.s for ALL of the other pts. on the interval.

Question 2

What does EVT say?

Answer 2

If f is continuous on a closed interval, f has an abs. min. and max.

Question 3

What are relative extrema?

Answer 3

The defined point where the y-value has an open interval (not necessarily continuous) in which it is greater or less than the y-val.s for those pts. These are critical points.

Question 4

What is a critical number?

Answer 4

The defined number where f’(x)=0 or f’(x) is undef. If f(x) and f’(x) are undef, then it is a vertical asy.

Question 5

What is a point of inflection?

Answer 5

A point where either f”(x)=0 or f”(x) is undefined and f”(x) changes signs (or f’(x) changes directions).