End Behavior of Functions

The end behavior of a function describes how the function behaves as the input values approach positive or negative infinity.

The leading term of a polynomial function is the term with the highest degree, which determines the end behavior of the function.

The leading coefficient indicates the direction of the end behavior: if it is positive, the function will approach positive infinity in both directions for even degrees, and if it is negative, it will approach negative infinity.

By observing the direction in which the graph extends as it moves towards the left and right ends, you can determine the end behavior of the function.

It means that the function's values increase without bound as the input values decrease.