Question

Is F(x)= X^2(X^2+9)(X^3+2X) even or odd

Answer 1

The function is odd.

Explanation:

A function is even if the graph of the function is symmetric with respect to the y-axis. A function is odd if the graph of the function is symmetric with respect to the origin. To find if the function is even or odd, we're going to graph the function using DESMOS.

As you can see in the attached picture, the function is symmetric with respect to the origin. Therefore, the function is odd.