SOLUTION: Find all the asymptotes, x-intercepts, and y-intercepts for the graph of the given rational function. f(x)=5/x vertical asymptotes? Horizontal asymptotes? Oblique asymptote

Algebra ->  Real-numbers -> SOLUTION: Find all the asymptotes, x-intercepts, and y-intercepts for the graph of the given rational function. f(x)=5/x vertical asymptotes? Horizontal asymptotes? Oblique asymptote      Log On


   

Question 922489: Find all the asymptotes, x-intercepts, and y-intercepts for the graph of the given rational function.
f(x)=5/x
vertical asymptotes?
Horizontal asymptotes?
Oblique asymptotes?
x-intercept?
y-intercept?
symmetry?
Thank you!
Found 2 solutions by CubeyThePenguin, ikleyn:
Answer by CubeyThePenguin(3113) About Me  (Show Source):
You can put this solution on YOUR website!
f(x) = 5/x

vertical asymptotes: x = 0
horizontal asymptotes: y = 0
oblique asymptotes: none

x-intercept: none
y-incercept: none

symmetry: rotational symmetry

Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
.

From the post by  CubeyThePenguin  EXCLUDE  the answer  "rotational symmetry",  since it is irrelevant to function graphs

and instead,  ADD  the central symmetry about the origin of the coordinate system   f(-x) = -f(x),
also called as  "anti-symmetry".