Trigonometry (11th Edition)
Trigonometry (11th Edition)
11th Edition
ISBN: 9780134217437
Author: Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher: PEARSON
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Question
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 =
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Transcribed Image Text: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 =
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