In this important lecture on Functions and Graphs, our instructor Dr.Fraser will guides you through what makes a function and how a graph is a visual display of data. You will continue to cover terms such as coordinate pairs as well as discrete and continuous functions. Up next in this lesson is the proper use of the vertical line test as well as details on the domain and range of a function. Finally, you will test your understanding with four video examples at the end.
A function is a
rule in which each value assigned to the function (each input)
produces exactly one output.
graphed on the coordinate plane.
The input value is
called the independent variable and the output is called the
A relation is a
set of ordered pairs. The set of all first terms is called the
domain of the relation. The set of second terms is called the range
of the relation.
function has a graph consisting of isolated points that are not
function has a graph that is a smooth curve or line.
Functions and Graphs
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.