How to Graph Ordered Pairs and Determine Domain and Range

The Organic Chemistry Tutor

This comprehensive math tutorial introduces the fundamentals of the coordinate plane, guiding students through the essential skills of graphing ordered pairs and understanding mathematical relations. The video begins by breaking down the anatomy of a coordinate system, identifying the X and Y axes, the origin, and how these number lines intersect to create a grid for locating points. Viewers are shown step-by-step how to plot positive and negative integers across all four quadrants, as well as how to reverse the process by identifying the coordinates of pre-plotted points. The content progresses from simple graphing to the concept of "relations" in algebra. It demonstrates how relations can be represented in three distinct formats: as a set of ordered pairs, a data table, and a graphical plot. Through clear examples, the narrator explains how to translate information between these formats, ensuring students understand that a table, a list, and a graph can all represent the same data set. A key focus of the latter half is defining and identifying "Domain" and "Range." The video provides concrete methods for extracting the domain (all x-values) and range (all y-values) from sets, tables, and graphs. This is an excellent resource for introducing pre-algebra and algebra students to function basics, helping them visualize abstract concepts and build the vocabulary necessary for advanced mathematical study.