How to Graph Monomials

By Rachel Kaplove

A monomial is a polynomial with one term. Graph monomials with help from a professional private tutor in this free video clip.


Hi, I'm Rachel, and today we're going to be going over how to graph monomials. Monomial is a polynomial with one term. So, there's many different ways to graph monomials depending on the degree of that term. So, for example if it's a one-degree monomial, which is something like y equals x, you know that it's going to go in a one direction and it's going to be straight line, like that. You can graph that simply by making a table of values like you can for any of these, or you can know that the slope is one, right, so it's going to have a slope of one, a rise of one over around of one, and it intercepts the origin like so. And so, you know it's going to look like this in one direction. If we have a monomial like y equals x squared, again, there's just one term, but in this case, it's to the second degree. So, it's going to go in two different directions; again, we know it goes through the origin because the point zero, zero exist and it's going to look like this, a parabola, right, two different directions. There's also a third degree monomial, right, which is when it's going to make a little dip and go in three directions, as you can see. And all of these cases they go through the origin, and all these can be found very simply just by using a table of values and plugging in different points like zero, zero and one and two and all those numbers, to see where they fall on the graph. And that's just a simple way describing how to graph a monomial. I'm Rachel and thank you for learning with me today.

About the Author

Rachel Kaplove has worked as a professional private tutor since 2005. Specializing in Math and Science, she tutors students from the second grade level to advanced high school honors levels.