Consider the function f (x) = x + 12x (a) Find the domain of f (x). Note: Use the letter U for union. To enter o, type infinity with a lower case i. Domain: (-infinity, infinity) & P (b) Give the horizontal and vertical asymptotes of f (x), 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 (x). Note: Use the letter U for union. To enter , type infinity with a lower case i. If the function is never increasing or decreasing, enter NA in the associated response area. increasing: (-infinity,-512) decreasing: (-512,0) & P & P (d) Give the local maximum and minimum values of f (x). 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. . 0 0 f( )= is a local m... & P -512 256 f( )= is a local m... (e) Give the intervals of concavity of f (x). Note: Use the letter U for union. To enter o, 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: (-512,0) concave downward: (0,infinity)U(-infinity,-512) (f) Give the inflection points of f (x). Enter your answers in increasing order of the x-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.. ) A P ( & P & P ) )