Learn what the end behavior of a polynomial is, and how we can find it from the polynomial's equation. In this lesson, you will learn what the "end behavior" of a polynomial is and how to analyze it from a …

Consider the polynomial function p (x) = 9 x 9 + 6 x 6 3 x 3 + 1 . What is the end behavior of the graph of p ?

Sal explains what "end behavior" is and what affects the end behavior of polynomial functions.

It'll show you what's the behavior, what value is this function approaching, as x becomes really positive or x becomes really negative. Well, let's just think about it.

Finding the end behavior To find the end behavior of a function, we can examine the leading term when the function is written in standard form. Let's write the equation in standard form.

Sal picks a function that has a given end behavior based on its graph. Created by Sal Khan.

Practice End behavior of rational functions Get 3 of 4 questions to level up! Practice Not started

Understanding the zeros, positive and negative intervals, and end behavior of a polynomial can help us understand the shape of the graph and make predictions about the system it models.

End Behavior is essentially the value a function approaches as it moves closer to positive or negative infinity. For example, a linear function F (x) = 3x would approach infinity as x approaches infinity and …

Intervals where a function is positive, negative, increasing, or decreasing Learn Increasing, decreasing, positive or negative intervals Worked example: positive & negative intervals