3) The following rational function is given. 5 pts ( ( x ) =_ x+ x - 6 X2 - 4 a) Determine where f(x) is discontinuous. State if hole or a vertical asymptote. b) For each point of discontinuity find out if a continuous extension exists. If yes, what value (continuous extension) should f at this point have? a) b) 4) Decide if the given function is continuous at x = 2. 4 pts Justify your answer by using the Continuity Test from the Lecture Notes! A graph is not sufficient. 1 2x - 2 if x > 2 ( ( x ) = 1 2+ 1 if x 5 2 5) True or false? If a function is continuous on the intervals (a, b) and [b, c), where a