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Consider the function f (x) = x + 6x 3 (a) Find the domain of f (a). Note: Use the letter U for union. To enter oo, type infinity with a lower case i. Domain: (-infinity, infinity) (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 NA asymptote: vertical NA asymptote: (c) Give the intervals of increase and decrease of f (x). Note: Use the letter U for union. To enter co, type infinity with a lower case i. If the function is never increasing or decreasing, enter NA in the associated response area. increasing: (-64, infinity)increasing: -64,infinity) decreasing (- infinity, -64) (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 . IT. -64 f( ) = -128 is a local maxi.. NA NA f( ) = NA (e) Give the intervals of concavity of f (x). 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: (-infinity, 0) concave