Question 358576
{{{f(x)= (x^2-1)/(x^2-x-2)}}}
{{{f(x)= ((x-1)(x+1))/((x+1)(x-2))}}}
{{{f(x)= (x-1)/(x-2)}}}
Vertical Asympote:There is a vertical asymptote at {{{x=2}}}.
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{{{f(x)= (x-1)/(x-2)}}}
{{{f(x)=(1-1/x)/(1-2/x)}}}
{{{lim(x->infinity,f(x))=(1-0)/(1-0)=1}}}
There is a horizontal asymptote at {{{y=1}}}.
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X-intercept: When {{{x=1}}}, {{{y=0}}}
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Y-intercept: When {{{x=0}}},{{{y=1/2}}}
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{{{drawing(300,300,-6,6,-6,6,grid(1),circle(1,0,0.25),circle(0,1/2,0.25),blue(line(2,-10,2,10)),graph(300,300,-6,6,-6,6,(x-1)/(x-2),1,1))}}}