Consider the following curve. f(x) =  x − 4 x2 Determine the domain of the curve. (Enter your answer using interval notation.) (−∞, 0)∪(0, ∞)       Find the intercepts. (Enter your answers as comma-separated lists. If an answer does not exist, enter DNE.) y-intercept DNE      x-intercept 4       Determine the symmetry of the graph. (Select all that apply.) symmetric with respect to the x-axissymmetric with respect to the y-axissymmetric with respect to the originno apparent symmetry Find y ′(x). y ′(x) =        Find y ″(x). y ″(x) =        Find the vertical and horizontal asymptotes. (Enter your answers as comma-separated lists. If an answer does not exist, enter DNE.) y= 0      x= 0       Find 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 f is 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 DNE      local maximum values         Sketch the curve.