In this lesson, you will learn how to determine if a function is odd, even or neither. An even function is when plugging in a negative x gives the original function, or the absolute of the function, while an odd function is symmetric with the xy line. By using the example function of f(x) = x² + 2x - 3, it was determined that this function was neither odd nor even. Additionally, this lesson provides a graphical explanation of how to identify even and odd functions.
How to determine if a function is odd, even or neither
I show how to solve math problems online during live instruction in class. This is my way of providing free tutoring for the students in my class and for students anywhere in the world. Every video is a short clip that shows exactly how to solve math problems step by step. The problems are done in real time and in front of a regular classroom. These videos are intended to help you learn how to solve math problems, review how to solve a math problems, study for a test, or finish your homework. I post all of my videos on YouTube, but if you are looking for other ways to interact with me and my videos you can follow me on the following pages through My Blog, Twitter, or Facebook.
Questions answered by this video:
How do you know if a function is odd, even, or neither?
What does it mean for a function to be odd or even?
What are characteristics of odd and even functions?
Is f(x) = x^2 + 2x - 3 even or odd?
How can you plug in -x into a function to determine if it is even, odd, or neither?
Currently 4.0/5 Stars.
This lesson shows you how to determine if a function is even, odd, or neither by plugging -x into x for the function. The concept of what it means for a function to be odd or even is also explained.