Exploring Polynomial End Behavior

The video tutorial explains how to match three graphed functions with their corresponding equations by analyzing their end behavior and degree terms. The instructor guides viewers through the process of identifying the highest and lowest degree terms, understanding end behavior, and matching each function to its equation. The tutorial emphasizes the importance of recognizing polynomial characteristics and provides a step-by-step approach to solving the problem.

What is the main task described in the introduction?

• To find the roots of the functions

• To match functions with their graphs

• To solve a set of equations

• To determine the y-intercepts

What is the highest degree term of the first function?

• x^3

• x^4

• x^5

• x^2

What is the end behavior of the first function?

• Like positive x^3

• Like negative x^3

• Like positive x^2

• Like negative x^2

Which graph corresponds to the first function?

• Graph f

• Graph j

• Graph h

• Graph g

What is the highest degree term of the second function?

• x^2

• x^5

• x^4

• x^3

What is the end behavior of the second function?

• Like negative x^3

• Like negative x^2

• Like positive x^2

• Like positive x^3

Which graph corresponds to the second function?

• Graph j

• Graph g

• Graph h

• Graph f

What is the highest degree term of the third function?

• x^3

• x^2

• x^4

• x^5

What is the end behavior of the third function?

• Like positive x^2

• Like negative x^2

• Like negative x^3

• Like positive x^3

Which graph corresponds to the third function?

• Graph f

• Graph h

• Graph g

• Graph j