How do you graph #f(x)=1/(x^2-2x)# using holes, vertical and horizontal asymptotes, x and y intercepts?
1 Answer
Apr 15, 2017
Vertical asymptotes at
Horizontal asymptote at
No holes, no x-intercepts
Explanation:
Rational equation
Factor both the numerator and denominator:
Find x-intercepts
There are no factors in the numerator.
Find holes:
Holes occur when factors can be cancelled because they are found both in the numerator and denominator. This does not occur in this problem.
Find the vertical asymptotes
Vertical asymptotes at
Find horizontal asymptotes
graph{1/(x^2-2x) [-10, 10, -5, 5]}