Determine Which Functions are Even and Which are Odd

The video tutorial explains how to determine if functions are even, odd, or neither. It begins with an introduction to the concept of symmetry in functions and the algebraic approach to testing for even or odd properties. The tutorial then analyzes two specific functions, G and H, demonstrating the steps to simplify and test each function. The importance of careful multiplication and the impact of negative signs are emphasized. The tutorial concludes with a determination of the properties of each function based on the analysis.

What is the first step to check if a function is even or odd?

Describe the process of simplifying a function to check if it is even or odd.

Explain how to determine if a function is odd using the negative of the function.

What happens when you multiply a function by -1? How does it affect the function's evenness or oddness?

What conclusion can be drawn if a function does not return to its original form after applying the negative?