Let f be the function defined by f (x) = ax +bx+2 2x2-8 - where a and b are constants. The graph of fhas a horizontal asymptote at y = 3 and f has a removeable discontinuity at x = 2. (a) Show that a = 6 and b = -13. (b) To make f continuous at x = 2 , f(2) should be defined as what value? Justify your answer. (c) At what value of x does f have a discontinuity due to a vertical asymptote? Give a reason for your answer.f (t) for 0 St 8 The number of fish in a pond at time t years is modeled by the function / defined above, where f is a continuous function such that f (0) = 80. (a) Find lim N(t). Explain the meaning of lim N(t) in the context of the problem. t-+00 t-+00 (b) Is the function / continuous at t = 8? Justify your answer. (c) The function N is continuous at t = 6. Is there a time , for 0