Consider the function f (x) (a) Find the domain of f (z) = 12t3 Note: Use the letter U for union To enter m, type infinity with a lower case Domain: (-infinity, infinity) (b) Give the horizontal and vertical asymptotes of f 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 (c) Note: Use the letter U for uniom To enter m. type infinitywith a lower case Ifthe 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 Enter your answers in increasing order of the a-value If there are less than two local extrema, enter NA in the remaining response areas and the corresponding drop-dum menu Include a multiplication sign between symbols. For example, a f( -512 is a local maximum is a local minimum