What are the asymptote(s) and hole(s), if any, of # f(x) =(7x)/(x-3)^3 #?
1 Answer
no holes
vertical asymptote at
horizontal asymptote is
Explanation:
Given:
This type of equation is called a rational (fraction) function.
It has the form:
where
and
Step 1, factor : The given function is already factored.
Step 2, cancel any factors that are both in
The given function has no holes
Step 3, find vertical asymptotes:
vertical asymptote at
Step 4, find horizontal asymptotes:
Compare the degrees:
If
If
If
In the given equation:
horizontal asymptote is
Graph of
graph{(7x)/(x-3)^3 [-6, 10, -15, 15]}