How to Distinguish Between Linear & Nonlinear
Follow

Pin

Share


Share

Email
Next Video:
When Is the Tangent Function Positive?....5
Distinguishing between the terms linear and nonlinear is pretty straightforward if you just keep a few important things in mind. Distinguish between linear and nonlinear with help from a mathematics educator with over a decade of experience in this free video clip.
Promoted By Zergnet
Video Transcript
Hi, I'm Jimmy Chang, and we're here to talk about how to distinguish between linear and nonlinear. Now linear is actually one of those pretty straightforward functions out there and you could say that there's linear and there's everything else which is why they're called nonlinear so let's talk about some of the characteristics between the two and you'll see how to be able to distinguish between the two. Now linear let's start off with a graph, linear functions is basically that of a line. It could be upward, downward, or horizontal. There's also vertical lines but vertical lines are not considered functions so I won't draw that. Now nonlinear is basically a graph that's not that of a line. It can be a curve. It can be a split graph like that or any graph that's not that of a line. Now also, a linear function, is that of degree 1, meaning X to the first only, okay. Nonlinear, not degree 1 when it comes to a polynomial which you're talking about X squared, X cubed, X to the tenth, etc., but also nonlinear can be thought of as nonpolynomials. For example, you may have the square root of X. You could have X to the 1.6 or even negative exponents just like so. So after a while it's pretty straightforward to distinguish between linear and nonlinear given the fact that linear has some very fixed properties and nonlinear can actually go all over the place. So, I'm Jimmy Chang, and there are a few tips on how to distinguish between linear and nonlinear.