Consider the following function. (If an answer does not exist, enter DNE.) f (x ) = e-x2 (a) Find the vertical asymptote(s). (Enter your answers as a comma-separated list.) X = DNE Find the horizontal asymptote(s). (Enter your answers as a comma-separated list.) y = 0 (b) Find the interval(s) where the function is increasing. (Enter your answer using interval notation.) (-00,0) Find the interval(s) where the function is decreasing. (Enter your answer using interval notation.) (0,00) (c) Find the x-coordinate(s) any local extrema. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) local minima at x = DNE local maxima at X = 0 (d) Find the interval(s) where the function is concave up. (Enter your answer using interval notation.) X Find the interval(s) where the function is concave down. (Enter your answer using interval notation.)Consider the following function. f(X) = (4 x)e_x (a) Find the intervals of increase or decrease. (Enter your answers using interval notation.) increasing decreasing (b) Find the intervals of concavity. (Enter your answers using interval notation. If an answer does not exist, enter DNE.) concave Up concave down (c) Find the point of inflection. (If an answer does not exist, enter DNE.) (x.y)=( ) Consider the function below. f(x) = XV'X + 8 (a) What is the domain of the function? (Enter your answer using interval notation.) (b) Find the interval(s) where the function is increasing. (Enter your answer using interval notation.) Find the interval(s) where the function is decreasing. (Enter your answer using interval notation.) (c) Find the x-coordinate(s) of any local minima. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) Local minima at x = :| Find the xcoordinate(s) of any local maxima. (Enter your answers as a commaseparated list. If an answer does not exist, enter DNE.) Local maxima at x = Use the given graph of fever the interval (0, 6) to find the following. (a) The open intervals on which f is increasing. (Enter your answer using interval notation.) (1,3),(4,6) V (b) The open intervals on which fis decreasing. (Enter your answer using interval notation.) (0,1),(3,4) V (c) The open intervals on which fis concave upward. (Enter your answer using interval notation.) E x (d) The open intervals on which fis concave downward. (Enter your answer using interval notation.) (e) The coordinates of the point of inflection. (x.y)=( )