**Unformatted text preview: **(d) Find all local maximum values for this function, if any. III Answer the following questions using the Mean Value Thoerem. Let f be a function that satisﬁes: f (1) = 1 f (4) = 2 and | f ( x ) | ≤ 2 for all 1 ≤ x ≤ 4 . (a) Could it be true that f (2) = 0? (b) Could it be true that f (2) =-1? (c) Could it be true that f (2) =-2? (d) Could it be true that f (2) = 5? (e) Could it be true that f (3) = 5? (f) Could it be true that f (3) = 0? IV Let F be a function such that F 00 ( x ) = x-x 2 for all x . Suppose also that F (0) = 0 and F (1) = 1. ﬁnd a formula for F ( x )....

View
Full Document