Explanation
We are required to determine the nature of the given function below using end behavior:
[tex]y=x^3-x^2+x[/tex]
This is achieved thus:
- First, we start by graphing the given function.
Using a graphing calculator, we have:
From the graph above, we can deduce that, as x aproaches ∞, the function also approaches ∞.
Also, as x approaches - ∞, the function also approaches -∞.
Hence, the answer is:
[tex]\text{ Down on left and up on right }[/tex]
