SOLUTION: State the horizontal asymptote of the rational function. For full credit, explain the reasoning you used to find the horizontal asymptote. f(x) = (x^2 + 3x - 2)/ (x - 2)

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: State the horizontal asymptote of the rational function. For full credit, explain the reasoning you used to find the horizontal asymptote. f(x) = (x^2 + 3x - 2)/ (x - 2)       Log On


   

Question 1100982: State the horizontal asymptote of the rational function. For full credit, explain the reasoning you used to find the horizontal asymptote.
f(x) = (x^2 + 3x - 2)/ (x - 2)
Answer by josgarithmetic(39625) About Me  (Show Source):
You can put this solution on YOUR website!
Try either synthetic division or polynomial division.

Root of the denominator is 2.
2    |    1    3    -2
     |        2     10
     |_____________________
          1    5     8


f(x) can be expressed as x%2B5%2B8%2F%28x-2%29.
This means, as x goes increasingly toward negative or positive infinity, f approaches the line y=x%2B5, because the remainder becomes increasingly small.

Know clearly, this is NOT a horizontal asymptote; it is a slant asymptote.