SOLUTION: Give the domain, intercepts, asymptotes, and range of f(x)=(2x-1)/(x²-4).

Algebra ->  Functions -> SOLUTION: Give the domain, intercepts, asymptotes, and range of f(x)=(2x-1)/(x²-4).      Log On


   

Question 1187377: Give the domain, intercepts, asymptotes, and range of f(x)=(2x-1)/(x²-4).
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
Give the domain, intercepts, asymptotes, and range of
f%28x%29=%282x-1%29%2F%28x%5E2-4%29
the domain will be all x except the values that makes denominator equal to zero and these values are
x%5E2-4=0
x%5E2=4
x=sqrt%284%29
solutions: x=2 or x=-2
domain:{ x element R :+x%3C%3E-2 and x%3C%3E2 }

range: R (all real numbers)
Horizontal asymptote:
%282x+-+1%29%2F%28x%5E2+-+4%29-%3E0 as x-> ± infinity
Vertical asymptote: +x=-2 and x=2 }