Step-by-Step Guide to Sketching Any Polynomial Function Graph

In this video I will walk you through a simple process that can be used to accurately sketch the graph of ANY polynomial function.

We begin by determining the degree of the given polynomial function. Upon examination, we see that we are working with a cubic function since there are three x terms being multiplied. This tells us that the degree of the polynomial function will be 3.

The next step is to analyze the leading coefficient of the polynomial. We can see that we are dealing with a negative leading coefficient. This tells us that the end behavior of the polynomial function is Q2 to Q4.

From there, we identify the x-intercepts, the y-intercept, and the order of the x-intercepts. After plotting these key pieces of information, we join everything with a smooth curve to create the graph of the polynomial function.

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