What is the end behavior of X^3-5x?

1 Answer
Mar 7, 2018

The end behavior of this function is:
as x , y
as x , y
because it is an odd, positive function.

Explanation:

graph{x^3-5x [-10, 10, -5, 5]}

You can also remember it like this:
(Function is odd/even based on the degree of function.
Function is positive/negative based on the the sign of the leading coefficient.)

odd positive function =
as x , y
as x , y

odd negative function=
as x , y
as x , y

even positive function =
as x , y>
as x , y

even negative function=
as x , y
as x , y