Consider the function f (a) = X-3 2 +2 (a) Find the domain of f (z). Note: Use the letter U for union. To enter oo, type infinity. Domain: (-infinity,-2) U (-2, infinity) (b) Give the horizontal and vertical asymptotes of f (), if any. Enter the equations for the asymptotes. If there is no horizontal or vertical asymptote, enter NA in the associated response area. horizontal asymptote: y = 1 vertical X =-2 asymptote: (c) Give the intervals of increase and decrease of f (a). Note: Use the letter U for union. To enter oo, type infinity. If the function is never increasing or decreasing, enter NA in the associated response area. increasing: decreasing: NA (d) Give the local maximum and minimum values of f (a). Enter your answers in increasing order of the a-value. If there are less than two local extrema, enter NA in the remaining response areas and the corresponding drop-down menu. Include a multiplication sign between symbols. For example, a . 7. f( NA )= NA NA f( NA 6 0 )= NA NA (e) Give the intervals of concavity of f (z). Note: Use the letter U for union. To enter oo, type infinity. If the function is never concave upward or concave downward, enter NA in the associated response area. concave upward: (-infinity, -2) concave downward: (-2,infinity)