Show that the curve y = square root (x^2 +4x) has two slant asymptotes y = x + 2 and y = x - 2. I am confused on where to start on this question, any help would be greatly appreciated, thanks so much in advance.
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Originally Posted by Amybee Show that the curve y = square root (x^2 +4x) has two slant asymptotes y = x + 2 and y = x - 2. I am confused on where to start on this question, any help would be greatly appreciated, thanks so much in advance. 1. The second asymptote should read: y = -x - 2 2. The slope of the slant asymptote is calculated by: Or m = -1 which depends on the sign of x. Cab you take it from here?
I think so. Thanks for your help!
Originally Posted by Amybee I think so. Thanks for your help! Nevertehless ... with your problem there exists a very elegant solution (and I have another opportunity to show off!): For very large values of x y is approaching ... and that's the equation of the asymptote.
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