Question 5 Let f be the function defined by 3+ x2 f (x ) = -x2 - 2x +3 (a) Apply the first derivative test to compute the interval on which f is increasing. (6 marks) (b) Determine the horizontal and vertical asymptotes of f if they exist. Justify your answers. (7 marks) (c) Determine the critical point(s) of f. Apply relevant derivative tests and discuss the nature of these critical point(s). Show your steps clearly. (7 marks)