SOLUTION: Determine the asymptotes and use to graph: F(x) = (x^2 + x) / (x

SOLUTION: Determine the asymptotes and use to graph: F(x) = (x^2 + x) / (x - 1)

Question 604660: Determine the asymptotes and use to graph: F(x) = (x^2 + x) / (x - 1)
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Determine the asymptotes and use to graph: F(x) = (x^2 + x) / (x - 1)
**
When degree of numerator is one degree higher than that of the denominator, you have slant asymptotes. To find equation of slant asymptote, divide numerator by denominator.
By long division you will get a quotient: (x+2)+R=2/(x+1).
Equation of the asymptote: y=x+2
Vertical asymptotes:
set denominator=0, then solve for x
x-1=0
x=1
vertical asymptote: x=1
number line:
F(x) = (x^2 + x) / (x - 1)
F(x)=x(x+1)/(x-1)
<...-...-1....+....0...-....1...+..>
..
see graph below:

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