Table of Contents

## What does end behavior means?

The end behavior of a function f describes **the behavior of the graph of the function at the ends of the x-axis. In other words, the end behavior of a function describes the trend of the graph if we look to the right end of the x-axis (as x approaches +u221e ) and to the left end of the x-axis (as x approaches u2212u221e ).**

## What are the four types of end behavior?

DegreeLeading CoefficientEnd behavior of the functionEvenPositivef(x)+u221e, as xu2212u221ef(x)+u221e, as x+u221eEvenNegativef(x)u2212u221e, as xu2212u221ef(x)u2212u221e, as x+u221eOddPositivef(x)u2212u221e, as xu2212u221ef(x)+u221e, as x+u221eOddNegativef(x)+u221e, as xu2212u221ef(x)u2212u221e, as x+u221e

## How do you determine end behavior?

To determine its end behavior, **look at the leading term of the polynomial function. Because the power of the leading term is the highest, that term will grow significantly faster than the other terms as x gets very large or very small, so its behavior will dominate the graph.**

## How do you find the end behavior of a function?

To determine its end behavior, **look at the leading term of the polynomial function. Because the power of the leading term is the highest, that term will grow significantly faster than the other terms as x gets very large or very small, so its behavior will dominate the graph.**

## What functions end behavior?

DegreeLeading CoefficientEnd behavior of the functionEvenPositivef(x)+u221e, as xu2212u221ef(x)+u221e, as x+u221eEvenNegativef(x)u2212u221e, as xu2212u221ef(x)u2212u221e, as x+u221eOddPositivef(x)u2212u221e, as xu2212u221ef(x)+u221e, as x+u221eOddNegativef(x)+u221e, as xu2212u221ef(x)u2212u221e, as x+u221e

## What are ending behaviors?

The end behavior of a function f describes **the behavior of the graph of the function at the ends of the x-axis. In other words, the end behavior of a function describes the trend of the graph if we look to the right end of the x-axis (as x approaches +u221e ) and to the left end of the x-axis (as x approaches u2212u221e ).**

## How do you write end behavior?

To determine its end behavior, **look at the leading term of the polynomial function. Because the power of the leading term is the highest, that term will grow significantly faster than the other terms as x gets very large or very small, so its behavior will dominate the graph.**

## How do you determine the end behavior of a function?

The end behavior of a function f describes **the behavior of the graph of the function at the ends of the x-axis. In other words, the end behavior of a function describes the trend of the graph if we look to the right end of the x-axis (as x approaches +u221e ) and to the left end of the x-axis (as x approaches u2212u221e ).**