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 Topic: asymptotes
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 A function with 3 asymptotes 2012-10-19 From rimoshika:find a function that have 3 Asymptotic : y=x/y=sinx/x=-1Answered by Penny Nom. f(x)= (e^x) / [(e^x)+(ex^2)] 2009-11-10 From natalie:I'm trying to graph the function, f(x)= (e^x) / (e^x)+(ex^2) [e to the x divided by e to the x plus e times x squared] I know that there aren't any vertical asymptotes, but is there a horizontal asymptote? and also, I'm stuck on finding the concavity for this graph. I tried to find f "(x), but it came out to be really long and I am not sure how to find the x values for f "(x) without using a graphic calculator. thanks, natalieAnswered by Chris Fisher and Harley Weston. Graphing Rational Functions 2008-12-05 From Bahra:The question in my homework is: Find all vertical, horizontal, and slant asymptotes, x- and y-intercepts, and symetries, and then graph each function. Check your work with a graphing calculator. y=3/x+3 meanng: ( y= 3 over x+3)Answered by Janice Cotcher. Sketch the graph of the hyperbola and its asymptotes 2007-03-13 From Katrina:Given (y-2) ^2 – x^2/4 =1 do the following: Sketch the graph of the hyperbola and its asymptotes. Label the vertices on the graph I attached the graph thanks for your help!Answered by Penny Nom. Vertical asymptotes 2005-12-05 From Kelly: X2 - 49 Y= ------------------- X2 + 9x + 20 We are trying to solve this equation to find the vertical asymptote. Answered by Penny Nom. Asymptotes 2005-06-06 From Abraham:What are the equations of all horizontal and vertical asymptotes for the curve y=x/(x(x2-4))(the answer is y=0, x=-2, x=2, but I want to know how to get that algebraically.And why isn't x=0 another asymptote?)Answered by Leeanne Boehm. 0.999..., asymptotes and infinity 2004-12-17 From Mike:My Name is Mike and I teach high school. I had a student ask me to explain why .9 repeating is equal to 1. Then he asked me about an asymptote, or why a parabola or any other curve for that matter can continually approach a value (like 1) and yet never attain a value of 1. He is thinking that these two should represent the same concept and yet they contradict each other. Do you have a solid explanation for him? Of by the way he is a 7th grader. Great little thinker!!!!!Answered by Claude Tardif and Harley Weston. A conic 2004-08-10 From A student:My question is about this equation 32x*2 -18y*2 -64x +72y +248 =0 explain why as x goes to the infinity the graph of the conic looks like y= (3/4)X. What I did to try to find the solution of this problem was to graph and then I thought that maybe trying to find the equation of the asymptotes I could do it, but it was useless -because the equation of the asymptotes is y= +4/3(X-1) -2 and that does not explain why tho conic looks like y=(3/4) x . I would really appreciate your help on this.Answered by Penny Nom. A hyperbola centered at (0,0) 2001-12-28 From Carla: Find the equation of the hyperbola centered at (0,0) with vertices at (0,3) and (0,-3) that is asymptotic to the lines y=+-5x. Find the equation of a hyperbola in standard position foci (1,5) and (1,7) and eccentricity 2. Answered by Peny Nom. Asymptotes 2001-11-09 From Frank: given the function: f(x) = (x2) / (x-1) the correct answer to the limit of f(x) as x approaches infinity is: y = x+1 all math references point to this answer and the method they all use is long division of x-1 into x2 however if one were to multiply both the numerator and denominator by 1/x and then take the limit, one gets: y=x how can the descrepency between the two answers be explained? Answered by Chris Fisher and Penny Nom.

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