Let f(x) = ( 2 kx if x < 1, k + x if x > 1 with the value of f(1) to be determined. (a) Compute lim x1 f(x) in terms of k. (b) Compute lim x1+ f(x) in terms of k. (c) Find the values of k and f(1) that make f(x) continuous at x = 1. (d) Using the choice of k and f(1) in part (c), make a graph of y = f(x) for 0 x 2.Let f(x) = ( 2 kx if x < 1, k + x if x > 1 with the value of f(1) to be determined. (a) Compute lim x1 f(x) in terms of k. (b) Compute lim x1+ f(x) in terms of k. (c) Find the values of k and f(1) that make f(x) continuous at x = 1. (d) Using the choice of k and f(1) in part (c), make a graph of y = f(x) for 0 x 2.