Functions, Domain and Range

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A series of free Basic Algebra Lessons.

In this lesson, we will learn

  • how to write an equation to describe a table
  • how to write an equation that describes a pattern or picture
  • about the domain and range of a function

Connecting Graphs, Tables, and Equations
In Algebra we do a lot of work with lines and their graphs. Connecting graphs, tables, and equations of lines is an important practice so that we can to help understand lines and how to graph them. When looking at graphs and tables, there are important characteristics that we need to be able to identify including the y-intercept and the slope.

Writing an Equation to Describe a Table

In Algebra, sometimes we are given points and asked to write an equation to describe them. There are many methods we can use for writing an equation to describe a table. For example, if the table describes a line, we use the y-intercept and calculate the slope to write the equation. To fully understand this concept, students should know how to plot points and how to interpret graphs.

How to write a slope-intercept equation given an X-Y Table?

How to, given an x-y table, write an equation in slope-intercept form?

How to write a linear equation when given a table of data?

Writing an Equation to Describe Pictures

If a student learns about writing an equation to describe a picture or a pattern, it will help him or her understand how graphs and equations work and how they apply to the real world. Writing an equation requires students to understand how to interpret graphs, and it helps to understand functions, function notation and how to connect graphs , tables and equations

Writing equations from patterns

Patterns and equations

Domain and Range

An important part of understanding functions is understanding their domain and range. Domain and range are all the possible x-values and y-values of the function, and can often be described easily by looking at a graph. In order to grasp domain and range, students must understand how to determine if a relation is a function and interpreting graphs.

Determining Domain and Range

Finding Domain and Range of a Function using a Graph

How to determine the domain and range of a function?

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