In the first lecture of Linear Relations and Functions, Dr. Eaton reviews concepts from Algebra 1 such as the coordinate plane, x-coordinate, y-coordinate, coordinate pairs, and quadrants. Next up are relations with domain and range. Functions follow and are shown to be able to be represented with tables and maps. One-to-one functions are investigated next as well as graphs of relations such as discrete examples and continuous examples. Dr. Eaton then shows how to utilize the very important vertical line test used to determine if a relation is a function. Finally are independent variables, dependent variables, and function notation. This lecture is finished off with four complete video examples.
Each relation or function has a domain and a range.
Functions may be one to one, and may be discrete or continuous.
Functions satisfy the vertical line test: any vertical line crosses the graph at most once.
One variable, usually x, is the independent variable. The other variable is the dependent variable.
Relations and Functions
Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.