SOLUTION: f(x)= (x-3)/(x+4) Find a. Vertical Asymptote b. Horizontal Asymptote c. x-int. d. y-int. e. Domain

Algebra ->  Rational-functions -> SOLUTION: f(x)= (x-3)/(x+4) Find a. Vertical Asymptote b. Horizontal Asymptote c. x-int. d. y-int. e. Domain      Log On


   

Question 858784: f(x)= (x-3)/(x+4)
Find
a. Vertical Asymptote
b. Horizontal Asymptote
c. x-int.
d. y-int.
e. Domain
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
For x extremely negative or extremely positive, f approaches 1.

f is undefined at x=-4, creating there an asymptote.

f is 0 for x=3.

%280-3%29%2F%280%2B4%29=-3%2F4, the y-intercept.

Domain: Remember the vertical asymptote? Domain is all real numbers but x%3C%3E-4. x%3C-4 and x%3E-4 is the domain.