# What is the end behavior of #f(x) = (x - 2)^4(x + 1)^3#?

##### 1 Answer

For any polynomial function that is factored, use the Zero Product Property to solve for the zeros (x-intercepts) of the graph. For this function, x = 2 or -1.

For factors that appear an even number of times like

For factors that appear an odd number of times, the function will run right through the x-axis at that point. For this function, x = -1.

If you multiply the factors out, your term of highest degree will be

Here is the graph: