Explain the difference between odd degree function and odd functions

An odd degree function is a polynomial function where the highest exponent of the variable is odd. This means that the function will have a power of x that is an odd number, such as x^3, x^5, x^7, etc. These functions do not necessarily have to be odd functions themselves.

On the other hand, odd functions are functions that exhibit symmetry across the y-axis. This means that if you reflect a graph of an odd function in the y-axis, it will match up perfectly with the original graph. Examples of odd functions include f(x) = x, f(x) = x^3, f(x) = sin(x), etc. Odd degree functions can also be odd functions, but not all odd functions are necessarily odd degree functions.