Determine whether the degree of the function is even or odd and whether the function itself is even or odd.

There are Even, Odd and None of them and this does not depend on the degree but on the relation. An Even function: And Odd one:

Step-by-step explanation:

1) Firstly let's remember the definition of Even and Odd function.

An Even function satisfies this relation:

An Odd function satisfies that:

2) Since no function has been given. let's choose some nonlinear functions and test with respect to their degree:

3) Then these functions are respectively even and odd, because they passed on the test for even and odd functions namely, and for odd functions.

Since we need to have symmetry to y axis to Even functions, and Symmetry to Odd functions, and moreover, there are cases of not even or odd functions we must test each one case by case.

step-by-step explanation: