Vertical asymptote — Algebra II, what it means and where it is taught
A vertical line the graph approaches but never reaches, at an excluded value that does not cancel.
Taught in Algebra II.
Where it is taught
What it rests on
Work through these first if this one does not settle.
- Excluded value — An input that makes the denominator zero. It can never be in the domain.
Practise this idea
1 question in the course bank use Vertical asymptote, in Rational Expressions & Equations.
Problem 1
What is the vertical asymptote of y=x+1x-5?
- x=5
- x=-1
- y=5
- y=1
Worked answer
x=5
x-5=0 at x=5
The top is not zero there, so it is an asymptote