Videos and lessons with examples and solutions to help High School students learn how to graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.

Graph polynomial functions, identifying zeros when suitable factorizations are available, and showing end behavior.

Common Core: HSF-IF.C.7

Turning Points and X Intercepts of a Polynomial Function

This video introduces how to determine the maximum number of x-intercepts and turns of a polynomial function from the degree of the polynomial function. Examples are shown with graphs.

Real Zeros, Factors, and Graphs of Polynomial Functions

This video explains the connection between zero, factors, and graphs of polynomial functions.

Ex: Find the Intercepts of a Polynomial Function (Factorable)

This video explains how to determine the intercepts of a polynomial function when the using function notations with variables other than x and y.

Ex: Find the Intercepts of a Polynomial Function (Real Zero)

This video provides an example of how to find the intercepts of a polynomial function.

Ex: End Behavior or Long Run Behavior of Functions

This example provides two examples of how to describe the end behavior and long run behavior of a function.

Ex: End Behavior of a Polynomial Function in Factored Form

This video explains several ways to determine the end behavior or long run behavior of a polynomial function in factored form.

Summary of End Behavior or Long Run Behavior of Polynomial Functions

This video explains and provided shortcut to determine the end behavior or long run behavior of polynomial functions.

Ex 1: Find the Intercepts and the End Behavior of a Polynomial Function

This video provides an example of how to find the intercepts and the end behavior of a polynomial function.

Ex 2: Find the Intercepts and the End Behavior of a Polynomial Function

This video provides an example of how to find the intercepts and the end behavior of a polynomial function.

Ex 3: Find the Intercepts and the End Behavior of a Polynomial Function

This video provides an example of how to find the intercepts and the end behavior of a polynomial function.

Graphing Calculator

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