Consider the function f (z) = z + 15x 3 (a) Find the domain of f (I) Note: Use the letter U for union. To enter oo, type infinity with a lower case i. Domain (b) Give the horizontal and vertical asymptotes of f (z), 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 (I). Note: Use the letter U for union. To enter oo, type infinity with a lower case i. 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 (I). Enter your answers in increasing order of the z-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 . . Click for List Click for List (e) Give the intervals of concavity of f (I) Note: Use the letter U for union. To enter oo, type infinity with a lower case i. 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 z-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 . . (g) Select the graph of f (z). 200 - 750 750 1500 2250 -200 -409 2250 -1500 -750 400- -600- -800- 1090 T 800- 600- 400- -209- 2250 -1500 -750 750 1090 T 200 750 o 750 1500 2250 -200