Prove that if f is continuous at s and f($) 0 then there is 5 0 such that f(a) 0 for all x in the interval (s - 6, s + 6). Your proof must include all of the following: . a clear statement of the definition of continuity in the context of this question . an explanation of how the two hypotheses are used . and, of course, the argument should make clear why there is a 6 as required