# Question #599d0

Oct 31, 2016

End behavior is the behavior of the graph in $y$ as $x \rightarrow - \infty$ and as $x \rightarrow \infty$.

#### Explanation:

A good example of end behavior is polynomials.

Even functions with a positive leading coefficient
As $x \rightarrow - \infty$, $y \rightarrow + \infty$
As $x \rightarrow + \infty$, $y \rightarrow + \infty$

Even functions with a negative leading coefficient
As $x \rightarrow - \infty$, $y \rightarrow - \infty$
As $x \rightarrow + \infty$, $y \rightarrow - \infty$

Odd functions with a positive leading coefficient
As $x \rightarrow - \infty$, $y \rightarrow - \infty$
As $x \rightarrow + \infty$, $y \rightarrow = \infty$

Odd function with a negative leading coefficient
As $x \rightarrow - \infty$, $y \rightarrow + \infty$
As $x \rightarrow + \infty$, $y \rightarrow - \infty$