Intermediate Value Theorem: 1. A function y = f (x) that is continuous on a closed interval [a, b] takes on every value between f (a) and f (b). In other words, if yo is between f(a) and f(b), then yo = f(c) for some c in [a, b]. 2. Construct a function where the initial conditions for the intermediate value theorem fail. Justify your answer with a table or sketch of the function, and an explanation of why the theorem cannot be applied