How do you graph #f(x)=(x-1)/x^2# using holes, vertical and horizontal asymptotes, x and y intercepts?
1 Answer
See answer below
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
Step 5, find x-intercept(s) :
Step 5, find y-intercept(s):
no
graph{(x-1)/x^2 [-10, 10, -5, 5]}