Consider the function f (x) = X-2 2+3 (a) Find the domain of f (a). Note: Use the letter U for union. To enter oo, type infinity. Domain: (b) Give the horizontal and vertical asymptotes of f (a), 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: vertical asymptote: (c) Give the intervals of increase and decrease of f (a) Submit Assignment Quit & Save Back Que increasing: decreasing (d) Give the local maximum and minimum values of f (a). Enter your answers in increasing order of the -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 . T. f( Click for List f ( Q D)= Click for List (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: concave downward: (f) Give the inflection points of f (I). Enter your answers in increasing order of the a-coordinate. If there are less than two points of inflection, enter NA in the remaining response areas. Include a multiplication sign between symbols. For example, a . IT