College Algebra · Module 5 · Functions, domain and range

Functions Walkthrough

Watch inputs go into a function machine and come out as points on a graph: test graphs with a vertical line, read values, shade the domain and range, build piecewise graphs, and meet the eight toolkit functions. Go at your own pace. Nothing here is graded.

Speed

Think of it like this

Quick check

Wrong answers are fine here. Read why, then try again.

Dr. Akash Garg · College Algebra Study Tools · CC BY-NC-SA 4.0
Use the left and right arrow keys to move between steps. Practice next in the Functions Lab. On every graph, inputs and the domain are drawn in blue on the x-axis, and outputs and the range in red on the y-axis; a filled dot is included and a hollow dot is not. Animations loop so you can watch them as many times as you like.