2. [30 Points] Using the curve sketching strategy, Graph f (x) = 2_1 x2 + 1 (a) Find the domain, the intercepts and asymptotes. (b) Determine the intervals where the function is increasing and decreasing and local maxima and minima. (c) Determine the intervals where the graph of f is concave upward and concave downward and inflection points. (d) Use the information from the previous steps and sketch the graph. You may use additional points as needed