4. a) Find all horizontal and vertical asymptotes of f(x)= -x / (x+1)(x-3) and sketch it's graph.
There should be two vertical asymptotes, x=-1 and x=3. I used multiple graph calculators online and they do not show the x=3 asymptote.
What am I doing wrong?
Okay so am I correct with this answer:
Horizontal Asymptote
when x gets big+ y gets close to 0-
when x gets big- y gets close to 0+
Vertical Asymptote
x gets close to 3+ y gets big -
" " " " 3- y gets big +
" " " " -1+ y gets big -
" " " " -1- y gets big +
yes it appears so
if you haven't ever used this you might like
- Wolfram|Alpha
where I graphed your equation
this ussually gives more info about what's going on.