Question

What is the end behavior of the graph? Describe the end behavior and provide the leading term.
-3x5 + 9x4 + 5x3 + 3

Answer 1

the leading term is the term with the highest power

Answer 2

The end behaviour of a graph depends on the leading term & highest power.

Leading term is negative & highest power is odd.

as x---> \(\infty\) f(x)----->\(-\infty\)
as x-----> \(-\infty\) f(x)------>\(\infty\)

Answer 3

Here's a graphical summary for end behaviours of polynomials