SOLUTION: sketch the graph of the function defined by f(x)= -3/x+3 give the equation of its vertical asymptote.

Question 30912: sketch the graph of the function defined by f(x)= -3/x+3
give the equation of its vertical asymptote.
Answer by Nate(3500) (Show Source): You can put this solution on YOUR website!
f(x)= (-3) / (x + 3)
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This will be a sideways hyperbola....
Here are some points:
(0,-1);(-1,-3/2);(-2,-3);(-3,undefined);(-4,3);(-5,3/2);(-6,1)
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the "angle shaped" line will not cross the y=0 constant line;
also, the vertical asymptote is x=-3 -- because in the equation, if you plug in -3, you get -3/0 and that is undefined
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