1. Let f(x) = 14 - 212, f'(x) = 4x3 - 4x and f"(x) = 12x2 -4 (a) Determine the domain and range of the function. (Hint: It's a polynomials) (b) Determine the y- intercepts (c) Determine the critical points. (d) Determine the intervals on which the function is increasing or decreasing. Determine where all extreme values occur. (e) Determine the intervals on which the function is concave up and down and any possible inflection points. (f) Sketch a graph of f, labeling all points of interest