SOLUTION: find the vertical and the horizontal asymptotes for the function f(x) = (2x - 4)/ (x-1) and sketch its graph (not just the asymptotes but the whole graph) a) graph: b) vertical:

Algebra ->  Trigonometry-basics -> SOLUTION: find the vertical and the horizontal asymptotes for the function f(x) = (2x - 4)/ (x-1) and sketch its graph (not just the asymptotes but the whole graph) a) graph: b) vertical:       Log On


   

Question 949930: find the vertical and the horizontal asymptotes for the function f(x) = (2x - 4)/ (x-1) and sketch its graph (not just the asymptotes but the whole graph)
a) graph:
b) vertical:
c) horizontal:
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Vertical asymptote at the undefined x. That is x=1.

Horizontal asymptote depends on unbounded x to the left and to the right. Degree of numerator and denominator both 1. The leading terms become increasingly important those ways, and you find y=2x%2Fx which is y=2. The horizontal asymptote.