Section 4.2 Read Rolle's Theorem and the Mean Value Theorem carefully. Scan the proofs. Pay close attention to Figures 3 and 4 and be sure to notice Theorems 5 and 7. Theorem 7 is not a big deal right now, but it will be later. Answer the following questions by 7:00 am. Send an e-mail with subject line MA251 to email@example.com .
1) Fill in the blanks: The mean value theorem requires that f be a ______ function defined on a _______ interval . f must also be ________ on an ______ interval.
2) Finish the sentence: The main significance of the MVT is that it enables us to . . .
about a function from information about it's derivative
3) Fill in the blank: If f '(x) = 0 for all x in an interval (a,b), then f is _______ on (a,b).