The Easiest Way to Sketch Polynomial Functions (Cubic Function Example)

This video will show you the the ins and outs of graphing polynomial functions by walking you through how to sketch a cubic function. I will share a few very simple steps that you can use when analyzing the graphs of polynomial functions to determine their key features. This example involves a cubic function written in factored form.

The process begins by looking for the degree of the polynomial function. Since we are working with a cubic function here, the degree will be 3. Next, we analyze the leading coefficient of the polynomial. Since we are working with a negative leading coefficient, we know the end behavior of the polynomial function.

The next thing we do is look at the x-intercepts of the polynomial and the y-intercept of the polynomial. We can analyze the order of the x-intercepts to find out the behavior of the polynomial function as it passes through the x-axis.

Finally, we are able to plot all of the key information from analyzing our polynomial function on a graph. Joining everything with a smooth curve will help us create the graph of our cubic function!

Get better at math with my FREE weekly math tips and tricks ► https://math-by-the-pixel.ck.page/b96...
SUBSCRIBE to Math by the Pixel ►    / @mathbythepixel  
Support my work on Patreon ►   / mathbythepixel  
Learn more ► https://mathbythepixel.com/