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

Algebra ->  Rational-functions -> SOLUTION: how to find range of f(x)=x(square)-3x+2/(x+1) algebraically?      Log On


   

Question 354090: how to find range of f(x)=x(square)-3x+2/(x+1) algebraically?
Answer by stanbon(75887) About Me  (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)]
-----
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:
graph%28400%2C300%2C-10%2C10%2C-10%2C10%2Cx%5E2-%28%283x%2B2%29%2F%28x%2B1%29%29%29
------------
Range is "All Real Numbers"
Cheers,
Stan H.