SOLUTION: how to find range of f(x)=x(square)-3x+2/(x+1) algebraically?

Question 354090: how to find range of f(x)=x(square)-3x+2/(x+1) algebraically?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
how to find range of f(x)=x(square)-3x+2/(x+1) algebraically?
--------
f(x) = x^2-[(3x+2)/(x+1)]
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Range???
x^2 is always >=0
--
(3x+2)/(x+1) has a vertical asymptote at x=-1 so all Real Numbers
are subtracted from x^2.
--------
Graph:

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Range is "All Real Numbers"
Cheers,
Stan H.
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