How do you graph and find the discontinuities of #F(x) = (-2x^2 + 1)/(2x^3 + 4x^2)#?
1 Answer
Solve for the asymptotic discontinuities
Explanation:
To make it easier to look for the discontinuities, it helps to completely factor all the expressions first.
The discontinuities of a rational function are asymptotic discontinuities. These are the values of of
We can separate this into two equations:
Equation 1:
Equation 2:
The asymptotes are
As for graphing, you can do that by creating a table of values.
It should end up like this:
graph{(-2x^2+1)/(2x^3+4x^2) [-10, 10, -5, 5]}
You will notice that the graph looks like it's approaching x=0 and x=-2, but it will never actually touch it.