Learn to Determine If a Radical Function is Even or Odd

The video tutorial explains how to determine if a function is even or odd by evaluating F of negative X. If the result is the original function, it is even. The tutorial highlights that a negative number raised to an even power results in a positive value. An example is provided where F of negative X equals sqrt X^2 + 2, confirming the function is even. Even functions are symmetrical about the y-axis.

How do you determine if a function is even?

• Evaluate F of negative X and check if it equals the original function

• Evaluate F of negative X and check if it equals zero

• Evaluate F of X and check if it equals F of negative X

• Evaluate F of X and check if it equals zero

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

• It remains unchanged

• It becomes a positive value

• It becomes zero

• It becomes a negative value

What is the result of evaluating F of negative X in the given example?

• It results in a different function

• It results in the original function

• It results in zero

• It results in a negative function

What is a characteristic of even functions?

• They are symmetrical about the x-axis

• They are symmetrical about the y-axis

• They are not symmetrical

• They are symmetrical about the origin

Which of the following is true about even functions?

• They are always decreasing

• They are symmetrical about the y-axis

• They have no symmetry

• They are always increasing