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.

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

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How can you algebraically represent an odd function?

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What is the definition of an even function?

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Explain how to determine if a function is odd.

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

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

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