## What end behavior is falls to the left and rises to the right?

Leading Coefficient Test

Case | End Behavior of graph |
---|---|

When n is odd and an is negative | Graph rises to the left and falls to the right |

When n is even and an is positive | Graph rises to the left and right |

When n is even and an is negative | Graph falls to the left and right |

**What determines the end behavior of the polynomial function?**

The degree and the leading coefficient of a polynomial function determine the end behavior of the graph. So, the sign of the leading coefficient is sufficient to predict the end behavior of the function.

### How do you describe the end behavior of a rational function?

Determining the End Behavior of a Rational Function Step 1: Look at the degrees of the numerator and denominator. If the degree of the denominator is larger than the degree of the numerator, there is a horizontal asymptote of y=0 , which is the end behavior of the function. This is the end behavior.

**What determines end behavior?**

The end behavior of a polynomial function is the behavior of the graph of f(x) as x approaches positive infinity or negative infinity. The degree and the leading coefficient of a polynomial function determine the end behavior of the graph.

## How do you describe the end behavior of a polynomial function?

The end behavior of a polynomial function is the behavior of the graph of f(x) as x approaches positive infinity or negative infinity. The leading coefficient is significant compared to the other coefficients in the function for the very large or very small numbers.

**How do you describe 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 +∞ ) and to the left end of the x-axis (as x approaches −∞ ).

### How do you describe the end behavior of a polynomial?

**What is the end behavior of a square root function?**

The square root function f(x)=√x has domain [0,+∞) and the end behaviour is. as x→0 , f(x)→0.