Use the graph of the function to answer each question. (-2 ≤ x ≤ 2π) f(x) = cot(x) -2π 3 2π (a) Find all x-intercepts of the graph of y = f(x). (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) x = (b) Find all y-intercepts of the graph of y = f(x). (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) y = (c) Find the intervals on which the graph of y = f(x) is increasing and the intervals on which the graph of y = f(x) is decreasing. (Enter your answers using interval notation. If an answer does not exist, enter DNE.) increasing decreasing (d) Find all relative extrema, if any, of the graph of y = f(x). (Enter your answers as a comma-separated list of ordered pairs. If an answer does not exist, enter DNE.) relative minima relative maxima (e) Find all vertical asymptotes, if any, of the graph of y = f(x). (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) x =
Use the graph of the function to answer each question. (-2 ≤ x ≤ 2π) f(x) = cot(x) -2π 3 2π (a) Find all x-intercepts of the graph of y = f(x). (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) x = (b) Find all y-intercepts of the graph of y = f(x). (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) y = (c) Find the intervals on which the graph of y = f(x) is increasing and the intervals on which the graph of y = f(x) is decreasing. (Enter your answers using interval notation. If an answer does not exist, enter DNE.) increasing decreasing (d) Find all relative extrema, if any, of the graph of y = f(x). (Enter your answers as a comma-separated list of ordered pairs. If an answer does not exist, enter DNE.) relative minima relative maxima (e) Find all vertical asymptotes, if any, of the graph of y = f(x). (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) x =