How to determine if a polynomial 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. It discusses the behavior of negative numbers raised to odd powers and how this affects the function's evaluation. The tutorial provides a step-by-step example of identifying an odd function using a cubic function, highlighting the reflective property about the Y-axis. The key takeaway is understanding the difference between even and odd functions and how to identify them through function evaluation.

What is the result when a negative number is raised to an odd power?

• A negative number

• The same number

• Zero

• A positive number

How can you determine if a function is even?

• F of negative X equals the original function

• F of negative X equals zero

• F of negative X equals a positive number

• F of negative X equals the negative of the original function

What indicates that a function is odd?

• F of negative X equals the original function

• F of negative X equals zero

• F of negative X equals a positive number

• F of negative X equals the negative of the original function

In the example of a cubic function, what happens when you plug in a negative value?

• You get a positive value

• You get the negative of the function's value

• You get zero

• You get the original function

Why is the cubic function considered odd?

• It is symmetric about the Y-axis

• It reflects over the origin

• It has no symmetry

• It is symmetric about the X-axis