[SOLVED] Analysis Question 1. The problem statement, all variables and given/known data Let f:Reals to Reals be a continuous at x=a, and further suppose f(a)>0. Show there exists an interval I about x=a such that f(x)>0 for all x in I. 2. Relevant equations none 3. The attempt at a solution i know the defn of continuity but I am not sure how to show this interval exists. I need HELP!