Asymptotes

fashionister

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Sep 26, 2011
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hi,

maths homework question help please:

draw the qraph y=10/x and then draw in the asymptotes and write down the equations



thank you

fashionister
 
hi,

maths homework question help please:

draw the qraph y=10/x and then draw in the asymptotes and write down the equations



thank you

fashionister

Hi fashionister,

I don't know how this gets to be differential equations, but your graph will have two asymptotes, 1 vertical and 1 horizontal.
The graph is a hyperbola with branches in the 1st and 3rd quadrants.

Vertical asymptotes occur when x occurs in the denominator after simplification of the ratioinal expression. Since your rational expression 10/x is already simplified, determine what value of x would make the denominator zero. The answer, of course, is 0. The equation of the vertical asymptote then is x = 0.

One way horizontal asymptotes occur is when the degree of the numerator is less than the degree of the denominator. The degree of the numerator of your rational expression 10/x is zero. The degree of the denominator is 1. Under these conditions, the horizontal asymptote is y=0.

The other condition for horizontal asymptotes occurs when the degrees are the same, but that's not the case here.
 
Last edited:
Hi masters,

You are right it's not, I'm sorry. Thank you for the help, it's much appreciated.


Thanks again

fashionister
 
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