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 =
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 =
AI-Generated Solution
AI-generated content may present inaccurate or offensive content that does not represent bartleby’s views.
steps

Unlock instant AI solutions

Tap the button
to generate a solution

Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Functions and Change: A Modeling Approach to Coll…
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning