This is for my calculus project and we have to pick an equation and go through the process of finding first and second derivatives, asymptotes, symmetry, and max/min to sketch the curve.
I chose (x^2-3x+4)/(x^2+2x-1) as my equation.
The Attempt at a Solution
I found the first derivative and solved it for find the max or min. I got 1+square root of 2 and 1-square root of 2, but shouldn't there be only one max or min (based on the graph - I used my graphing calculator and this http://my.hrw.com/math06_07/nsmedia/tools/Graph_Calculator/graphCalc.html to check)?
And then the second problem is.. when I calculated to find the asymptote, my horizontal asymptote is y=1. If I look at the graph, There is certainly an asymptote at y=1 when X<0 but not when it's x>0. How does that happen? I'm so stuck right now.