Endpoint

Definition

An endpoint is a point at the end of a line segment or the beginning and end points of an interval. They are crucial in determining the domain, range, and behavior of functions.

5 Must Know Facts For Your Next Test

1. Endpoints are used to define the boundaries of intervals.
2. In trigonometry, endpoints can represent key angles on the unit circle.
3. Endpoints help determine whether a function is increasing or decreasing over an interval.
4. Endpoints are essential when calculating limits and continuity for functions.
5. Graphically, endpoints can indicate where a function starts and stops.

Review Questions

• What role do endpoints play in defining the domain of a function?
• How would you identify endpoints on a graph of a trigonometric function?
• Why are endpoints important when discussing the behavior of a function?

Related terms

Interval: A set of numbers between two endpoints, which can be open or closed depending on whether the endpoints are included.

Domain: The set of all possible input values (x-values) for which a function is defined.

Range: The set of all possible output values (y-values) that a function can produce.