Why can horizontal asymptotes be crossed? • Physics Forums
Aug 5, 2007 · Horizontal asymptotes can indeed be crossed by functions, as established in the discussion. The function f (x) = sin (x)/x approaches the horizontal asymptote y = 0 while …
What is an asymptote and why doesn't parabola have one?
Oct 1, 2007 · An asymptote is a straight line associated with a curve such that as a point moves along an infinite branch of the curve the distance from the point to the line approaches zero …
Horizontal asymptotes - approaches from above or below?
Feb 22, 2009 · The discussion centers on understanding horizontal asymptotes, specifically for the function y = (6x + 1) / (1 - 2x). The horizontal asymptote is identified at y = -3. The user …
What is an asymptote and how do we find it in graphing ln(x)?
Nov 28, 2008 · Homework Statement the qns is : sketch the graph of y=3ln (x+2) , showing clearing the asymptote and the x-intercept. im wondering wat is asymptote and...
How to find oblique asymptotes for any function in general?
Jul 11, 2005 · The discussion focuses on finding oblique asymptotes for the function y= (2x^2+5x+11)/ (x+1). Participants emphasize the necessity of using polynomial long division to …
Determining the horizontal asymptote - Physics Forums
Apr 9, 2024 · Consider, I am self-studying; My interest is on the horizontal asymptote, now considering the degree of polynomial and leading coefficients, i have ##y=\\dfrac{2}{1} =2## …
Asymptote of a curve in polar coordinates • Physics Forums
Apr 14, 2017 · The discussion centers on the polar curve defined by the equation rθ = 1 for 0 < θ < 2π. Participants demonstrate that the line y = 1 serves as an asymptote to this curve by …
Why is y=a a horizontal asymptote on the polar coordinates?
Jun 8, 2010 · Hi guys, I was trying to sketch a polar curve but my curve was different from the curve on maple(I plotted the same curve on maple). Homework Statement Here is the whole …
Infliction Point: Concavity Change & Asymptotes • Physics Forums
Aug 9, 2009 · Infliction point exist where concavity changes. Say y=a is a vertical asymptote. If f(x) approaches infinity from the left and negative infinity from the right. Since on the left is …
How to know if this irrational function has no asymptotes?
Sep 18, 2015 · The discussion centers on the function F (x) = x + 1 - 3√ ( (x - 1)/ (ax + 1)) and the conditions under which it has no asymptotes. It is established that for a > 0, the function has …