Interactive Demo
The Vertical Line Test Interactive
The Vertical Line Test Interactive is a free, interactive learning demo from the College Algebra course on Lykke. It helps you build intuition for Domain and range, Function evaluation, Inverse functions, Interval analysis. Play with it directly in your browser — it features 1 slider, 4 buttons, direct drag interaction and a live visual canvas. This demo lives in the “Introduction to Functions” section of the course.

How to use this demo
- Drag the sliders to change the inputs and watch the visualization update in real time.
- Click and drag directly on the canvas to manipulate the scene.
- Use the “Parabola”, “Circle”, “Sideways Parabola”, “Sine Wave” buttons to trigger actions or reset the demo.
- Experiment freely — there's nothing to break, and every change is reversible.
What you'll explore
- Domain and range
- Function evaluation
- Inverse functions
- Interval analysis
Frequently asked questions
What does the The Vertical Line Test Interactive demo do?
The Vertical Line Test Interactive Parabola Circle Sideways Parabola Sine Wave Input (x): Move the slider or drag the line to test if this relation is a function. The Vertical Line Test Interactive lets you explore this hands-on instead of only reading about it.
What College Algebra concept does The Vertical Line Test Interactive teach?
A comprehensive introduction to function notation, evaluation, and graphical analysis. It focuses on Domain and range, Function evaluation, Inverse functions, Interval analysis from the “Introduction to Functions” section.
What can I control in The Vertical Line Test Interactive?
The sliders change the key inputs; you can drag elements directly on the canvas; the “Parabola”, “Circle”, “Sideways Parabola”, “Sine Wave” buttons run actions or reset the demo. Every change updates the visualization in real time, so you can see exactly how each variable affects the outcome.
How does The Vertical Line Test Interactive fit into the College Algebra course?
The Client Challenge course is a comprehensive College Algebra program designed to guide learners through 14 essential units of mathematical mastery. Starting with foundational linear equations and inequalities, the cur… This demo is the interactive piece for the “Introduction to Functions” section. Open the full College Algebra course wiki at https://www.getlykke.com/explore/public/college-algebra-24ddef04-2a28-48d8-bab2-8ab5d7d2b5a7 for notes, flashcards, quizzes and the other demos.
What will I understand better after using The Vertical Line Test Interactive?
You'll build intuition for Domain and range, Function evaluation, Inverse functions, Interval analysis — and, crucially, see how they behave when you change the inputs, which is hard to get from a textbook or lecture on College Algebra alone.
From the College Algebra course
This interactive demo is part of the Introduction to Functions section. Explore the full College Algebra course wiki on Lykke — with notes, flashcards, quizzes and more interactive demos.
Open the College Algebra course →