Asked by Fu'ad Abdo Redi
sketch the graph of x square minus one over x minus x square
Answers
Answered by
oobleck
there are lots of online graphing web sites.
If you meant y = (x^2-1)/(x-x^2) then note that is just
(x+1)/(x-1) / x(1-x) = -(x+1)/x = -1 - 1/x
for x≠1
So it has a hole at x=1, and then also
a vertical asymptote at x=0
a horizontal asymptote at y = -1
If you meant y = (x^2-1)/(x-x^2) then note that is just
(x+1)/(x-1) / x(1-x) = -(x+1)/x = -1 - 1/x
for x≠1
So it has a hole at x=1, and then also
a vertical asymptote at x=0
a horizontal asymptote at y = -1
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