3. (a) (5 marks) For what value(s) of the constant c is the function f continuous on (-00,00)? f(x) cx² - 1, -cln x ≤e +1, x>e (b) (3 marks) Suppose that a function f is continuous everywhere and that f(-2) -1, f(-1)=1, f(0) = -1, f(1) =-2 and f(2) = -4. Does the Intermediate Value Theorem guarantee that f has a root on the interval (-2,-1)? Explain your answer.