Why can horizontal asymptotes be crossed? • Physics Forums
Aug 5, 2007 · The discussion revolves around the nature of horizontal asymptotes in mathematical functions, specifically addressing whether and how these asymptotes can be crossed. Participants …
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 and the slope …
Determining the horizontal asymptote - Physics Forums
Apr 9, 2024 · The horizontal asymptote is determined to be , while the vertical asymptotes occur at and . Participants clarify that asymptotes can intersect curves, emphasizing that asymptotes describe the …
Vertical Asymptote: Is f Defined at x=1? • Physics Forums
May 22, 2011 · The discussion revolves around the concept of vertical asymptotes in relation to the definition of a function at specific points, particularly focusing on whether a function can be defined at …
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 question, I am …
Do polynomials have asymptotes? • Physics Forums
Apr 7, 2006 · First of all, do polynomials have asymptotes, including oblique ones? I know that rational functions have asymptotes, and it seems that most, if not all, of my book's exercises on this lesson …
How to find oblique asymptotes for any function in general?
Jul 11, 2005 · The discussion revolves around finding oblique asymptotes for functions, particularly focusing on the rational function y= (2x^2+5x+11)/ (x+1). Participants explore various methods for …
Asymptote of a curve in polar coordinates • Physics Forums
Apr 14, 2017 · Homework Help Overview The problem involves analyzing the polar equation of a curve defined by r θ = 1 for the range 0 <θ <2 π. The objective is to demonstrate that the line y = 1 serves …
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 concave up …
Horizontal asymptotes - approaches from above or below?
Feb 22, 2009 · The discussion revolves around understanding horizontal asymptotes in the context of the function y = (6x + 1) / (1 - 2x). Participants are exploring how to determine whether the curve …