How do you describe the end behavior of a cubic function?
1 Answer
The end behavior of cubic functions, or any function with an overall odd degree, go in opposite directions.
Explanation:
Cubic functions are functions with a degree of 3 (hence cubic ), which is odd. Linear functions and functions with odd degrees have opposite end behaviors. The format of writing this is:
For example, for the picture below, as x goes to
graph{x^3 [-10, 10, -5, 5]}
Here is an example of a flipped cubic function, graph{-x^3 [-10, 10, -5, 5]}
Just as the parent function (
The end behavior of this graph is:
Even linear functions go in opposite directions, which makes sense considering their degree is an odd number: 1.