Question 86381
graph: f(x)=-41/(x^2-36).  
You have vertical asymptotes at x=6 and at x=-6
As x goes to +infinity, y goes to -infinity
As x goes to -infinity, y goes to -infinity
You have no x-intercepts
The y-intercept is at -41/-36
Plot a few more points and you should be able to sketch the graph.
It looks like the following:
{{{graph(400,300,-10,10,-10,10,-41/(x^2-36))}}}

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Cheers,
Stan H.