Learn How to Determine Algebraically If a Function is Even or Not

The video tutorial explains how to determine if a function is even by substituting negative X into the function. If the function remains unchanged, it is even. An example is provided using X to the 4th power plus one, which is shown to be even. The tutorial also discusses the graphical representation of even functions, highlighting their symmetry about the Y-axis. The lesson concludes with a hint towards the next topic, encouraging students to use process of elimination.

What is the process to determine if a function is even?

How do you verify if F of negative X equals the original function?

What conclusion can you draw if negative X raised to the 4th power equals X to the 4th plus one?

Can you provide an example of an even function?

What does it mean if a function is reflective about the Y axis?