How to Algebraically Show That a Function is Even

The video tutorial explains how to determine if a function is even by substituting negative X into the function and checking for equivalence with the original function. It demonstrates that if the function remains unchanged, it is even. The tutorial also highlights that an even function's graph is symmetrical about the Y axis, which can be proven both algebraically and graphically.

What is the method to test if a function is even?

What does F of negative X represent in the context of even functions?

How can you determine if the original function is equivalent to F of negative X?

What is the significance of the graph being symmetrical about the Y axis?

What are the two methods mentioned for proving that a function is even?