Question

Find the nature of the graph of the function y = x3 - x2 + x using end behavior.Up on left and rightDown on left and up on rightDown on right and up on leftDown on left and right

Answer 1

Explanation

We are required to determine the nature of the given function below using end behavior:

$y=x^3-x^2+x$

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:

$\text{ Down on left and up on right }$