Asymptote Definition and 79 Threads

Can anyone please explain to me how to find the asymptote of a function? Your help is much appreciated!

I'm a calc newb, and I am a little stumped here. Thanks for your help. How do you do this? http://www.webassign.net/www29/symImages/0/8/103b04681b693242466ef17cefccc1.gif

Homework Statement What is an equation for the hyperbola with vertices (3,0) and (-3,0) and asymptote y=7/3x? Homework Equations The Attempt at a Solution I solved this problem but still have a question. The answer is 49x^2-49y^2=441 (I solved it by graphing). However, my...

Hey guys I am not being able to understand the Asymptote. Please say me wheather an Asymptote is a line that really meets the curve or not. If it meets its defination is not saying so beacuse its defination is like this "An asymptopte is a line whose perpendicular distance from any point on the...

Homework Statement Sketch the graph of (x-1)/(1-x^2). Homework Equations Vertical Asymptotes are found in the denominator. The Attempt at a Solution I have all I need to sketch this graph except the vertical asymptote. The 1-x^2 is throwing me off. I thought it would come...

How do i find the horizontal asymptote for f(x)=xe-x2 thanks for the help.

Sorry to be a bother at this time around. I have a question though about a weird looking function : e^(6-2x) + 5. (The 5 is outside of the parenthesis, so it is a coefficient, not an exponent). I am interested in seeing how to use limits to construct its graph. In particular, I want to find out...

Which of the following has y=-1 as an asymptote? 1.e^(-x) 2.sin(x) 3.ln x 4.x/(x+1) 5.(3-2x^2)/(2x^2-13x+7) I've graphed each one on my calculator and I think that 1 is the answer, but it seems that it has y=0 as its asymptote rather than y=-1.

Hi. I'd like to show that sqrt(x*(x-1)) has the asymptote x-0.5. The coefficient on "x" is found by saying \lim_{x\rightarrow\infty}\frac{\sqrt{x(x-1)}}{x}=1 but how does one find the 0.5 constant?

Homework Statement I don't particularly need help with anyone problem, I just need a refresher on how to find the Key Point and Asymptote of an equation like the following: f(x)=2^(x+2)+3 Y-Int=? Key Point=? Asymptote=? Homework Equations I'm pretty sure I'll only need the...

I am trying to draw the graph of y = x + \sqrt{|x|} Can I say that as x approaches infinity, y approaches x? That would mean that the function has an oblique asymptote at the line y=x but I'm not sure. Thanks for any help!

scatter plot needs a regression? or line best fitting it. so far y=3/((x-3.75)/2.75)+9 is a pretty good fit graph is attached any suggestions on how to get rid of everything left of the asymptote?

keep in mind: 1. 100 years ago, there were only about 1 billion people on earth, today, nearly 7 billion, whether civilization began 20000 years ago or 200 billion years ago. 2. the advancement of technology today relative to 2000 years ago. 3. wars, deaths etc... have increased...

Alright, I know how to find the horizontal asymptotes but the vertical asymptotes? I tried dividing the polynomials but maybe I am not doing it correctly because I cannot get a normal answer... and I am unsure how to factor the denominator.

1. Homework Statement find the rational function with the slant asymptote of y = 2x + 1 2. The attempt at a solution (2x +1) + [u]something over something

The thing I have noticed is that parabola's angle from the x-axis keeps increasing...meaning the object is decreasing from that direction...if that is the case, then how does it go on in that direction forever even though, its speed going in that direction keeps decreasing? At what rate...

its asking me to find the value of p so that the function won't have a vertical asymptote: g(x) = (3x + p) / (x^3 + 8) however, I'm not sure how to figure that out...any help?

Homework Statement \frac{2x-3}{x-1} find the asymptotes of this equation. The Attempt at a Solution We already know that x=1 is a vertical asymptote from calculating the domain. the denominator of x-1=0 when x=1. However I'm not sure what it is they mean when later they go onto say...

I use Winshell for writing my tex files, I was wondering if there is any way to set it up to compile my files for asymptote as well. I just started learning to use asymptote, and was trying to get it working so I could do it all in one editor. Any help would be great. Thanks

Give the slope of the asymptote for the hyperbola given by the equation 6x^2 - {d}y^2 = 6. Give the value that is positive

Limit - asymptote Is asymptote the visualization of limit?

Question: Find the Vertical Asymptote if any f(x)=[tex}\frac{2x}{\sin2x}[\tex] Im somewhat lost, I cross multi and get 1/2 although my friends tell me this just equals 1. Any ideas? err...cant get the cool math symbol things to work...

Find the vertical asymptotes of the graph of F(x) = (3 - x) / (x^2 - 16) ok if i factor the denominator.. i find the vertical asymptotes to be x = 4, x = -4. The 2nd part of the problem asks: Describe the behavior of f(x) to the left and right of each vertical asymptote.. I'm not sure...

is there a horizontal asymptote for y=(lnx^2)/(x^2) i know u take the lim to find h.a but what is ln infinity/infinity?

y=logx4 state domain and range, x-intercept, vertical asymptote. I have never seen a question like this before. Please help me!

Hello Look for the attachment and if you found any ambiguity, please reply.

f(x)=(9x^2-36)/(x^2-9) I forgot how to get the hotizontal asymptote. Is it f(x)=0? When I do that, there is no way to solve it Also, how do I find the intervals for when f is increasing? I'm not asking for the answer, but the equation, I totally forgot thanks

Well I'm going through an introductory calculus book and right now I'm on the section of horizontal asymptotes. Currently I'm stubbed on this: y = (x^2 - 1) / (x^2 + 1) I take the limit of the function as x increases or decreases without bound and come up with y = 1 being the horizontal...

Help! My problem asks to find the vertical asymptotes of x^3/(x^2+3x-10) I found –5 & 2 to be vertical asymptotes but what I can’t figure out is how as x->-5- = -oo and x->-5+ = +oo I have calculated lim x->-5+ x^3/(x^2+3x-10) = -125/(0)(-5 - -2) = -125/-0 = +oo...