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 =
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 35E
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 =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8a2c9ae4-718a-4288-bbc7-9ce9838a8ae1%2F9c6d623e-49ca-47a1-965f-36fa3c58142d%2Fjfmlkpf_processed.png&w=3840&q=75)
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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