3. Use the intermediate value theorem to show that x3 = 4- x is solvable. Be sure to confirm that the x- initial conditions have been met. 4. Is the converse of the intermediate value theorem true? (Converse: If there exists a value c on the closed interval [a, b] such that f (c) = yo for every yo between f (a) and f (b), then y = f(x) is continuous.) Give a counterexample if the converse is false, and justify your