### 0.5 Graphing Polynomial Functions

1: Introduction and Finding End Behavior of Polynomial Functions

This video covers:

*Review of what a polynomial is

*Review of the vocabulary words associated with a polynomial: Degree, Terms, Coefficients, Leading Term, Leading Coefficient, Constant Term

*How to find and use the end behavior of the graph

*What the leading term test is

*How to use the leading term test to find the end behavior of the graph

*How a even or odd degree polynomial; and how a positive or negative leading coefficient affects the end behavior of the graph

*How the steps differ between expanded form (multiplied out form) and factored form

Examples:

2: Finding y-intercepts

This video covers:

*How to find the y-intercept and how it helps to graph polynomial functions

*The connection between the y-intercept and the constant term

*What format the y-intercept should be in

*How the steps differ between expanded form (multiplied out form) and factored form

*How many y-intercepts can be expected

Examples:

3: Finding the Zeros and Their Multiplicities of Polynomial Functions

This video covers:

*The definition of zero and how to find it

*How many zeros a polynomial should have

*The format the zeros should be in

*The definition of multiplicity and how to find it

Examples:

4: Finding and Plotting x-intercepts

This video covers:

*The similarities and differences between zeros and x-intercepts

*How even and odd multiplicities affect the graph

*The format for x-intercepts

*How to plot the x-intercepts

*How the end behavior and multiplicities give a general shape to the graph

Examples:

5: Sketching Graphs of Polynomial Functions

This video covers:

*Putting all the steps together to graph the polynomial functions

*How the end behavior, y-intercept, zeros and x-intercepts, and multiplicities form the shape of the graph

*How many times a graph can switch directions

*How you might need to plot additional ordered pairs to fill in any missing parts of the graph

Examples: