Consider the following curve. F ( x ) - X - 6 x2 Determine the domain of the curve. (Enter your answer using interval notation.) (-00, 0), (0,00) Find the intercepts. (Enter your answers as comma-separated lists. If an answer does not exist, enter DNE.) y-intercept DNE x-intercept (6,0) X Determine the symmetry of the graph. (Select all that apply. ) O symmetric with respect to the x-axis symmetric with respect to the y-axis symmetric with respect to the origin O no apparent symmetry XFind the interval(s) on which f is increasing. (Enter your answer using interval notation. ) Find the interval(s) on which f is decreasing. (Enter your answer using interval notation. ) Find the interval(s) on which fis concave up. (Enter your answer using interval notation.) Find the interval(s) on which f is concave down. (Enter your answer using interval notation.) Find the local minimum and maximum values of f. (Enter your answers as comma-separated lists. If an answer does not exist, enter DNE.) local minimum values local maximum values