Graphing Polynomials: Using End Behavior, Leading Coefficient, Zeroes

Hello everyone! For today's video, I will talk about graphing polynomials BUT with a trick. Sometimes, its just very tedious to graph polynomials but in some cases, the general trend of the graph is pretty similar. There are a few things to look out for when given a polynomial.

1.) Even or Odd: tells us the end behavior of the graphs
2.) Positive or Negative Leading Coefficient: tells us the direction of the end behavior
3.) Zeroes: tells us the x-intercepts of the graph

From there, you can pick and choose points to plug into the polynomial and see if the general number is negative or positive. The best scenario is that the polynomial is given to you with the zeroes so you can find the positive and negative sign of the solution, giving you a general idea of what the graph looks like.

Today's focus is to help you Guess the Graph! You don't need to know the exact look of the graph, but with these 3 items, you can pretty much guess the overall look of the graph. There is a "standard" trend for what the graphs look like for each degree of polynomial but there are certain exceptions that don't follow that. I cover a problem for each degree polynomial from x^3 to x^5.

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Hope you enjoyed my video! Thanks for watching!

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