How to Determine If a Function is Even or Odd

What is the symmetry property of an even function?

• Symmetrical with the X-axis

• Symmetrical with the line y = x

• Symmetrical with the Y-axis

• Symmetrical with the origin

Which of the following is true for an odd function?

• f(-x) = f(x)

• f(-x) = -f(x)

• f(x) = 0

• f(x) = -f(-x)

What is the result when you substitute -x into an even function?

• You get the original function back

• You get the negative of the original function

• The function becomes undefined

• The function becomes zero

In the example function, what happens when you raise a negative number to an even power?

• It becomes positive

• It remains negative

• It becomes zero

• It becomes undefined

What conclusion is reached about the example function after substituting -x?

• The function is odd

• The function is neither even nor odd

• The function is even

• The function is undefined