1. Let f(x) = r+ az + 15z + 1. (a) Find the intervals where f is increasing and decreasing. Identify the relative extrema (b) Find the intervals where f is concave up and down and identify any inflection points. (c) Evaluate lim f(r) and lim f(z). (d) Sketch a graph of f. 2. Let f'(a) = Assume the domain of f is (-o, 1) U (-1, 00). Note you are being given the derivative of f but asked questions about f itself. %3D (a) Find the intervals where / is increasing and decreasing. Identify the relative extrema. (b) Find the intervals where / is concave up and down and identify any inflection points. (c) Assume lim,-(x) = lim, /(x) 00 and f(-4) 1 and f(1)= 2. Sketch a graph of f.