Consider the function f (z) = -3 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). 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: (d) Give the local maximum and minimum values of f (z). Enter your answers in increasing order of the x-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. Q P)= Click for List Click for List (e) Give the intervals of concavity of f (a). 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 (x)(f) Give the inflection points of f (z). 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 . 7. (g) Select the graph of f (z). 107 -5- -10 -5 - 107 UT O -10. -5. 10 -5