Algebraic Even Odd or Neither Functions

The video tutorial explains the concepts of even and odd functions, focusing on their symmetries about the Y-axis and the origin, respectively. It covers both algebraic and graphical methods to determine if a function is even or odd. The tutorial provides examples using quadratic and cubic functions, demonstrating how to evaluate symmetry algebraically by substituting negative inputs. The video concludes with a practical application using Desmos to visualize these concepts.

Describe the symmetry properties of even functions.

What is the significance of the Y-axis in relation to even functions?

How can you algebraically represent an odd function?

What is the definition of an even function?

Explain how to determine if a function is odd.

What steps would you take to verify if a function is even or odd using a graphing calculator?

Provide an example of a function that is neither even nor odd and explain why.