Find the points at which the graph has vertical and horizontal tangents

Click For Summary

Homework Help Overview

The discussion revolves around identifying points on a graph where vertical and horizontal tangents occur, likely involving calculus concepts related to derivatives and tangent lines.

Discussion Character

  • Mixed

Approaches and Questions Raised

  • Participants discuss values related to horizontal and vertical asymptotes, with some questioning the distinction between points and values. There is also mention of specific x-values, such as x = ±3, suggesting further exploration of the graph's behavior at these points.

Discussion Status

The discussion includes acknowledgments of problem-solving, but there is no clear consensus on the interpretation of the question. Some participants have provided guidance regarding the distinction between points and values, indicating a productive exchange of ideas.

Contextual Notes

There appears to be some confusion regarding the terminology used in the problem, specifically the difference between points and values in the context of tangents and asymptotes.

calculusisfun
Messages
30
Reaction score
0
PRObLEM SOLVED> :)
 
Last edited:
Physics news on Phys.org
You're values for x, and y for which the graph of the equation obtains a horizontal or vertical asymptote seem to be correct. But be careful, the question asks for points, not values!
 
Problem solved :)
 
Last edited:
What about [itex]x=\pm 3[/itex]?
 
Thanks Metanllic, I just figured it out now. Thanks guys! :)
 

Similar threads

How to find integrals of parent functions without any horizontal/vertical shift?
  • · Replies 3 ·
Replies
3
Views
1K
Solve the vertical stretch/compression graph problem
  • · Replies 6 ·
Replies
6
Views
2K
Determining the horizontal asymptote
  • · Replies 6 ·
Replies
6
Views
2K
When is the velocity zero or changing?
  • · Replies 21 ·
Replies
21
Views
3K
Horizontal inflection point of a parametric polynomial function
  • · Replies 5 ·
Replies
5
Views
2K
Domination number of a graph G
  • · Replies 9 ·
Replies
9
Views
2K
How can the vertices of an ellipse be found using polar equations?
  • · Replies 1 ·
Replies
1
Views
1K
Horizontal Tangents in the Graph of y = 3x + 6sinx
  • · Replies 10 ·
Replies
10
Views
2K
Graphing Derivatives: Concavity and Inflection Points
  • · Replies 4 ·
Replies
4
Views
3K
Proving Cut Vertices in Simple Graphs
  • · Replies 2 ·
Replies
2
Views
2K