How Do You Calculate Horizontal and Vertical Asymptotes?

  • Context: High School 
  • Thread starter Thread starter poohbear1986
  • Start date Start date
  • Tags Tags
    Figure
Click For Summary

Discussion Overview

The discussion revolves around the calculation of horizontal and vertical asymptotes for the functions provided by participants. It includes clarifications on function notation and the implications of denominator values.

Discussion Character

  • Technical explanation, Conceptual clarification, Debate/contested

Main Points Raised

  • Participants present two functions, f(x) = 2x + 3/x + 2 and f(x) = 5x/x^2 + 1, but there is confusion regarding their correct notation.
  • One participant questions what values of x make the denominator zero and whether any values should be ignored in the context of asymptotes.
  • Another participant emphasizes the importance of correctly writing the functions, suggesting that the intended forms are f(x) = (2x + 3)/(x + 2) and f(x) = x/(x^2 + 1).
  • Clarification is sought on the correct interpretation of the function notation, with a focus on distinguishing between different possible representations.

Areas of Agreement / Disagreement

There is no consensus on the correct forms of the functions, and participants express differing interpretations of the notation. The discussion remains unresolved regarding the proper calculation of asymptotes.

Contextual Notes

Limitations include potential misunderstandings in function notation and the need for clarity on the definitions of horizontal and vertical asymptotes.

poohbear1986
Messages
20
Reaction score
0
asymptotes horizontal and vertical

f(x)= 2x+3/x+2


f(x)=5x/x^2+1
 
Physics news on Phys.org
What values of x makes denominator zero? Do you have to ignore anything?
 
Last edited:
In order to DO them right, first WRITE them right!

What you wrote is f(x)= 2x+(3/x)+ 2 and f(x)=(x/x^2)+ 1 but what you really MEANT was f(x)= (2x+ 3)/(x+ 2) and f(x)= x/(x^2+ 1).

How to do them? Start by looking up the definitions of horizotal asymptote and vertical asymptote.
 
do you mean f(x) = 2x + (3/x) + 2 and f(x) = (5x/x^2) + 1

or

do you mean f(x) = (2x + 3)/(x + 2) and f(x) = 5x/(x^2 + 1)

Please clarify...
 

Similar threads

MHB Horizontal Asymptote of Rational Function
  • · Replies 20 ·
Replies
20
Views
2K
High School Understanding exponentiation and logarithms together
  • · Replies 12 ·
Replies
12
Views
2K
High School Vertical asymptote with an epsilon-delta proof?
  • · Replies 4 ·
Replies
4
Views
2K
MHB What is the Slant Asymptote of $\dfrac{4x^3-10x^2-11x-1}{x^2-3x}$?
  • · Replies 3 ·
Replies
3
Views
2K
MHB Where is the Vertical Asymptote of f(x) = (5 - x^2)/(x - 3)?
  • · Replies 6 ·
Replies
6
Views
2K
MHB What Are the Steps to Find the Horizontal Asymptote of f(x) = (x^2 - 9)/(x - 3)?
  • · Replies 5 ·
Replies
5
Views
2K
MHB Vertical and Horizontal Asymptotes
  • · Replies 3 ·
Replies
3
Views
2K
MHB Discontinuity: Asymptotic discontinuity
  • · Replies 4 ·
Replies
4
Views
5K
High School Integration from "Area Under Curve" Perspective: Explained
  • · Replies 11 ·
Replies
11
Views
2K
MHB S5.t.5 Find domain and asymptotes.
  • · Replies 3 ·
Replies
3
Views
1K