Homework Help is Here – Start Your Trial Now!
Math
Calculus
What are the equations of the asymptotes for the function y = tan 27x where 0 < x< 2 37 5, T, I 27 O x = 0.25, 0.75, 1.25, 1.75 2=},學,學,夸 57 77 4 4 O x 4 оа %3D 0.5, 1.0, 1.5, 2.0

What are the equations of the asymptotes for the function y = tan 27x where 0 < x< 2 37 5, T, I 27 O x = 0.25, 0.75, 1.25, 1.75 2=},學,學,夸 57 77 4 4 O x 4 оа %3D 0.5, 1.0, 1.5, 2.0

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
See similar textbooks
icon
Related questions
Question
### Asymptotes of the Trigonometric Function **Question:** What are the equations of the asymptotes for the function \( y = \tan 2\pi x \) where \( 0 \leq x \leq 2 \)? **Options:** - \( x = \frac{\pi}{2}, \pi, \frac{3\pi}{2}, 2\pi \) - \( x = 0.25, 0.75, 1.25, 1.75 \) - \( x = \frac{\pi}{4}, \frac{3\pi}{4}, \frac{5\pi}{4}, \frac{7\pi}{4} \) - \( x = 0.5, 1.0, 1.5, 2.0 \) **Explanation:** The function \( y = \tan 2\pi x \) has vertical asymptotes where the argument of the tangent function is an odd multiple of \( \frac{\pi}{2} \). To find these asymptotes, solve \( 2\pi x = \frac{\pi}{2} + n\pi \) for \( x \). Here, \( n \) is an integer.
Transcribed Image Text:### Asymptotes of the Trigonometric Function **Question:** What are the equations of the asymptotes for the function \( y = \tan 2\pi x \) where \( 0 \leq x \leq 2 \)? **Options:** - \( x = \frac{\pi}{2}, \pi, \frac{3\pi}{2}, 2\pi \) - \( x = 0.25, 0.75, 1.25, 1.75 \) - \( x = \frac{\pi}{4}, \frac{3\pi}{4}, \frac{5\pi}{4}, \frac{7\pi}{4} \) - \( x = 0.5, 1.0, 1.5, 2.0 \) **Explanation:** The function \( y = \tan 2\pi x \) has vertical asymptotes where the argument of the tangent function is an odd multiple of \( \frac{\pi}{2} \). To find these asymptotes, solve \( 2\pi x = \frac{\pi}{2} + n\pi \) for \( x \). Here, \( n \) is an integer.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS