Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

Sent to:
Search glass icon
  • Login
  • Textbooks
  • Ask our Educators
  • Study Tools
    Study Groups Bootcamps Quizzes AI Tutor iOS Student App Android Student App StudyParty
  • For Educators
    Become an educator Educator app for iPad Our educators
  • For Schools

Problem

Find the horizontal and vertical asymptotes of ea…

04:56

Question

Answered step-by-step

Problem 50 Easy Difficulty

Find the horizontal and vertical asymptotes of each curve. If you have a graphing device, check your work by graphing the curve and estimating the asymptotes.

$ y = \dfrac{1 + x^4}{x^2 - x^4} $


Video Answer

Solved by verified expert

preview
Numerade Logo

This problem has been solved!

Try Numerade free for 7 days

Daniel Jaimes
Numerade Educator

Like

Report

Textbook Answer

Official textbook answer

Video by Daniel Jaimes

Numerade Educator

This textbook answer is only visible when subscribed! Please subscribe to view the answer

Related Courses

Calculus 1 / AB

Calculus: Early Transcendentals

Chapter 2

Limits and Derivatives

Section 6

Limits at Infinity: Horizontal Asymptotes

Related Topics

Limits

Derivatives

Discussion

You must be signed in to discuss.
Top Calculus 1 / AB Educators
Catherine Ross

Missouri State University

Kristen Karbon

University of Michigan - Ann Arbor

Samuel Hannah

University of Nottingham

Joseph Lentino

Boston College

Calculus 1 / AB Courses

Lectures

Video Thumbnail

04:40

Limits - Intro

In mathematics, the limit of a function is the value that the function gets very close to as the input approaches some value. Thus, it is referred to as the function value or output value.

Video Thumbnail

04:40

Derivatives - Intro

In mathematics, a derivative is a measure of how a function changes as its input changes. Loosely speaking, a derivative can be thought of as how much one quantity is changing in response to changes in some other quantity; for example, the derivative of the position of a moving object with respect to time is the object's velocity. The concept of a derivative developed as a way to measure the steepness of a curve; the concept was ultimately generalized and now "derivative" is often used to refer to the relationship between two variables, independent and dependent, and to various related notions, such as the differential.

Join Course
Recommended Videos

0:00

Find the horizontal and ve…

01:12

Find the horizontal and ve…

01:12

Find the horizontal and ve…

0:00

Find the horizontal and ve…

0:00

Find the horizontal and ve…

07:37

Find the horizontal and ve…

0:00

Find the horizontal and ve…

0:00

Find the horizontal and ve…

01:12

Find the horizontal and ve…

07:28

Find the horizontal and ve…

0:00

Find the horizontal and ve…

0:00

Find the horizontal and ve…

04:56

Find the horizontal and ve…

06:46

Find the horizontal and ve…

07:36

Find the horizontal and ve…

01:07

$41-46$ Find the horizonta…

Watch More Solved Questions in Chapter 2

Problem 1
Problem 2
Problem 3
Problem 4
Problem 5
Problem 6
Problem 7
Problem 8
Problem 9
Problem 10
Problem 11
Problem 12
Problem 13
Problem 14
Problem 15
Problem 16
Problem 17
Problem 18
Problem 19
Problem 20
Problem 21
Problem 22
Problem 23
Problem 24
Problem 25
Problem 26
Problem 27
Problem 28
Problem 29
Problem 30
Problem 31
Problem 32
Problem 33
Problem 34
Problem 35
Problem 36
Problem 37
Problem 38
Problem 39
Problem 40
Problem 41
Problem 42
Problem 43
Problem 44
Problem 45
Problem 46
Problem 47
Problem 48
Problem 49
Problem 50
Problem 51
Problem 52
Problem 53
Problem 54
Problem 55
Problem 56
Problem 57
Problem 58
Problem 59
Problem 60
Problem 61
Problem 62
Problem 63
Problem 64
Problem 65
Problem 66
Problem 67
Problem 68
Problem 69
Problem 70
Problem 71
Problem 72
Problem 73
Problem 74
Problem 75
Problem 76
Problem 77
Problem 78
Problem 79
Problem 80
Problem 81

Video Transcript

this problem or fifty of the Stuart Calculus eighth edition section two point six Find the horizontal and vertical hasn't OTS of each curve. If you have a graphing device, check your work paragraph in the curve and estimated master totes. The curve in this case is right equals one plus X to the fourth, divided by the quantity X squared minus X to the force. Heretical Assam dotes. We confined by setting the denominator equal to zero in this case X squared minus six of the fourth, equal to zero. We can affect her out and X squared, leaving us with one minus x squared. And we can fact throughout this difference of squares what's one's greater menace? X squared Kim affected as one plus x one minus x. Therefore, we have three X values that make this statement true. Zero negative one and positive one. The's expellees make the denominator equals zero, which means that this function is undefined at these valleys. Therefore, X equals zero X equals theta one X equals one are all vertical aspirin totes our horizontal as stoats are founded by taking the limit as X approaches infinity of the given function and or little too. To simplify this limit is to divide each term, buy eggs to the fourth. So I think it is this one of rakes in the fourth class one ratifying one over X squared minus one. And as we take the limit as express infinity, each of these terms vanish. Notice that this is the same case for ex purchase negative Infinity. He's good, very small and are a negligible compared to the other terms, such that this limited to negative one. And since we get the same answer for the limited express, infinity, as we do with experts, is negative. Infinity. There's only one way to cross him, too. Are horizontal Hasn't too equal to y equals negative. One two. We have three vertical ascent oats. Why? Why? Cause one is the only horizontal as into, And by crafting this function here, we can see the function one plus x to the fourth over, X squared minus six. Before it's part of it in red, we can see that it indeed does. After he broke a question to its At X equals negative one X equals zero. Mexico's one and one course onto Jacinto at one equals negative one

Get More Help with this Textbook
James Stewart

Calculus: Early Transcendentals

View More Answers From This Book

Find Another Textbook

Study Groups
Study with other students and unlock Numerade solutions for free.
Math (Geometry, Algebra I and II) with Nancy
Arrow icon
Participants icon
65
Hosted by: Ay?Enur Çal???R
Math (Algebra 2 & AP Calculus AB) with Yovanny
Arrow icon
Participants icon
43
Hosted by: Alonso M
See More

Related Topics

Limits

Derivatives

Top Calculus 1 / AB Educators
Catherine Ross

Missouri State University

Kristen Karbon

University of Michigan - Ann Arbor

Samuel Hannah

University of Nottingham

Joseph Lentino

Boston College

Calculus 1 / AB Courses

Lectures

Video Thumbnail

04:40

Limits - Intro

In mathematics, the limit of a function is the value that the function gets very close to as the input approaches some value. Thus, it is referred to as the function value or output value.

Video Thumbnail

04:40

Derivatives - Intro

In mathematics, a derivative is a measure of how a function changes as its input changes. Loosely speaking, a derivative can be thought of as how much one quantity is changing in response to changes in some other quantity; for example, the derivative of the position of a moving object with respect to time is the object's velocity. The concept of a derivative developed as a way to measure the steepness of a curve; the concept was ultimately generalized and now "derivative" is often used to refer to the relationship between two variables, independent and dependent, and to various related notions, such as the differential.

Join Course
Recommended Videos

0:00

Find the horizontal and vertical asymptotes of each curve. You may want to use …

01:12

Find the horizontal and vertical asymptotes of each curve. If you have a graphi…

01:12

Find the horizontal and vertical asymptotes of each curve. If you have a graphi…

0:00

Find the horizontal and vertical asymptotes of each curve. If you have a graphi…

0:00

Find the horizontal and vertical asymptotes of each curve. If you have a graphi…

07:37

Find the horizontal and vertical asymptotes of each curve. Check your work by g…

0:00

Find the horizontal and vertical asymptotes of each curve. You may want to use …

0:00

Find the horizontal and vertical asymptotes of each curve. You may want to use …

01:12

Find the horizontal and vertical asymptotes of each curve. If you have a graphi…

07:28

Find the horizontal and vertical asymptotes of each curve. If you have a graphi…

0:00

Find the horizontal and vertical asymptotes of each curve. If you have a graphi…

0:00

Find the horizontal and vertical asymptotes of each curve. You may want to use …

04:56

Find the horizontal and vertical asymptotes of each curve. If you have a graphi…

06:46

Find the horizontal and vertical asymptotes of each curve. Check your work by g…

07:36

Find the horizontal and vertical asymptotes of each curve. If you have a graphi…

01:07

$41-46$ Find the horizontal and vertical asymptotes of each curve. If you have …
Additional Mathematics Questions

02:49

It is hypothesized that students who drink coffee in the morning
will do …

01:42

Arthur has decided to
start saving for a new computer. His money is curre…

00:49

A manager has computed the correlation between the number of
hours of sic…

02:09

Find the solutions in the interval [0, 2π). (Enter your answers as a comma-s…

01:30

A car traveling at 46 ft/sec decelerates at a constant 6 feet
per second …

01:00

Consider the following data:
x
4
5
6
7
8
P(X=x) P(…

02:42

A doctor wants to estimate the mean HDL cholesterol of all 20-
to 29-year…

01:13

When a certain medical drug is administered to a patient, the
number of m…

01:14

Based on information from a large insurance company, 66% of all
damage li…

03:45

This is extension to the Locker problem.“One hundred students
are assigne…

Add To Playlist

Hmmm, doesn't seem like you have any playlists. Please add your first playlist.

Create a New Playlist

`

Share Question

Copy Link

OR

Enter Friends' Emails

Report Question

Get 24/7 study help with our app

 

Available on iOS and Android

About
  • Our Story
  • Careers
  • Our Educators
  • Numerade Blog
Browse
  • Bootcamps
  • Books
  • Topics
  • Test Prep
  • Ask Directory
  • Online Tutors
  • Tutors Near Me
Support
  • Help
  • Privacy Policy
  • Terms of Service
Get started