We want to determine the of the graph of the given . To do so, we will pay close attention to the leading term
is the and
is the of the polynomial. Let's first rewrite the given polynomial function in .
We can see above that the leading coefficient is
and the degree is
Let's now see how the leading coefficient and degree affect the end behavior of the graph of a polynomial function.
Since and is an , the end behavior of the given function is up and down.
We can see above that as approaches negative infinity, approaches positive infinity. As approaches positive infinity, approaches negative infinity.