1. Let f(x) = x3 + 3x + 1 with graph pictured below. - 5 - 5 (a) (4 points) Does the function f have an inverse on the interval [-5, 5]? How do you know? (b) (4 points) Determine f-1(5) and (f-1)'(5). (c) (4 points) The r-intercept for f is approximately (-0.322, 0) and the y-intercept for f is (0, 1). Sketch ffrom r = 1 to a = 5 on the graph above or on another piece of paper, marking any intercepts clearly