How do I use the intermediate value theorem to determine whether a polynomial function has a solution over a given interval?
To answer this question, we need to know what the intermediate value theorem says.
The theorem basically sates that:
For a given continuous function
It's application to determining whether there is a solution in an interval is to test it's upper and lower bound.
Let's say that our
From the theorem (since all polynomials are continuous), we know that there is a
Hope it helps.