How to Find the Range in a Polynomial Function

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Certain types of math problems may require you to find the range in a polynomial function. Learn how to find the range in a polynomial function with help from an experienced educator in this free video clip.

Part of the Video Series: Math Made Easy
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Video Transcript

Hi, my name is John Coder and I'm a math consultant with Faith Christian Academy in Arvada, Colorado. Today we're going to take a look at how to find the range of a polynomial function. Remember that a polynomial function is a collection of terms added or subtracted together with exponents that are all integers. For example, we're going to take a look the function, F of X equals X squared plus two. In order to graph this function, I first created an XY table. I selected values for the input, which is X, as negative two through two. In the output for Y, depends upon what the value of X is. Now, the collection of X values is called the "domain", and the collection of the Y values is called the "range". When I graph these points, I create a parabola which is opening upward. And notice the vertex of the parabola is at the point zero, two. So, if I take a close look at this graph and I think to myself, what values could Y be. Well, there's no values for Y that's dropping downward. All of the points for Y is upward. So, the minimum value for Y would be two in everything above that value. So, what I would say is that the range are all values where Y is greater than or equal to two. My name is John Coder. I'm a math consultant with Faith Christian Academy in Arvada, Colorado, and we just found out how to find the range of a polynomial function.

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