SOLUTION: How to get the x- and y-intercept and the horizontal and vertical asymptote(s) of these rational functions? {{{y = (20x(x+36))/(x-18)(x-1)}}} {{{y = 1/(x+2) +3}}} {{{y = 1

Algebra ->  Functions -> SOLUTION: How to get the x- and y-intercept and the horizontal and vertical asymptote(s) of these rational functions? {{{y = (20x(x+36))/(x-18)(x-1)}}} {{{y = 1/(x+2) +3}}} {{{y = 1      Log On


   

Question 912014: How to get the x- and y-intercept and the horizontal and vertical asymptote(s) of these rational functions?
y+=+%2820x%28x%2B36%29%29%2F%28x-18%29%28x-1%29
y+=+1%2F%28x%2B2%29+%2B3
y+=+1%2F%28x-2%29
Please explain,
Thank you
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Help here is just for the first equation.

The x intercepts are for 20x%28x%2B36%29=0
x%28x%2B36%29=0
highlight%28x=0%29 or highlight%28x=-36%29

y axis intercept goes through the origin, as you can find when x=0.

Horizontal Asymptote: Degree of numerator and denominator are 2; so at either unbounded extreme, y approaches 20. highlight%28y=20%29, the horizontal asymptote.

Vertical Asymptotes: The denominator shows y is undefined for highlight%28x=18%29 and for highlight%28x=1%29; and these are not represented as factors in the numerator, so they are the vertical asymptotes.