Consider the following function. (If an answer does not exist, enter DNE.) ((x) = In(6 - In(x)) (a) Find the vertical asymptote(s). (Enter your answers as a comma-separated list.) X= Find the horizontal asymptote(s). (Enter your answers as a comma-separated list.) (b) Find the interval where the function is increasing. (Enter your answer using interval notation.) Find the interval where the function is decreasing. (Enter your answer using interval notation.) (c) Find the local maximum and minimum values. local maximum value local minimum value (d) Find the interval where the function is concave up. (Enter your answer using interval notation.) Find the interval where the function is concave down. (Enter your answer using interval notation.) Find the inflection point. (x, v) = ( (e) Use the information from parts (a)-(d) to sketch the graph of f. 3 3 2 200 300 407 -400 -300 -200 3100 -1 O N X 100 290 300 400 -400 -300 -100 -1 -1 -2 -2 -3 -3 -4 -4 0-5/ -5