Determine If a Rational Function is Even or Odd

The video tutorial explains how to determine if a function is even or odd by substituting negative x into the function. If the result is the original function, it is even; if it is the opposite, it is odd. The tutorial demonstrates this process with examples, emphasizing the importance of simplification and the behavior of negative numbers raised to even powers.

What happens when you substitute negative X into a function and get the original function back?

• The function is odd.

• The function is even.

• The function is neither even nor odd.

• The function becomes undefined.

If substituting negative X into a function results in the opposite of the original function, what type of function is it?

• Even

• Odd

• Undefined

• Neither

What is the result of raising any negative number to an even power?

• It becomes positive.

• It becomes undefined.

• It becomes zero.

• It remains negative.

After substituting and simplifying, what indicates that a function is even?

• The opposite of the function is obtained.

• The original function is obtained.

• The function becomes undefined.

• The function becomes zero.

What is the final step to determine if a function is even or odd?

• Check if the function is positive.

• Check if the original or opposite function is obtained.

• Check if the function is undefined.

• Check if the function is zero.