Algebraically Determine If a Function is Even or Odd

The video tutorial explains how plugging in negative X into a function and raising it to an even power results in a positive number. This is because any negative number raised to an even power is positive. The tutorial further compares this result to the original function, demonstrating that it is an example of an even function.

What happens when a negative number is raised to an even power?

• It becomes negative

• It becomes positive

• It remains the same

• It becomes zero

Explain why any negative number raised to an even power is always positive.

How does the function of a negative number raised to an even power compare to the original function?

Describe the significance of the statement 'Since that's exactly the same.' in the context of even functions.

What is an example of an even function based on the text?