Interactive Demo

Function Mapping & Domain Explorer

Function Mapping & Domain Explorer is a free, interactive learning demo from the Precalculus 2e course on Lykke. It helps you build intuition for Function Notation, Domain and Range, Rates of Change, Linear Transformations. Play with it directly in your browser — it features 2 sliders, 1 dropdown, direct drag interaction and a live visual canvas. This demo lives in the “Functions and Linear Modeling” section of the course.

Preview of the Function Mapping & Domain Explorer interactive demo
Preview of Function Mapping & Domain Explorer — play the live version below.
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How to use this demo

  1. Drag the “Select Relationship”, “Parameter (k): 0.0” sliders to change the inputs and watch the result update live.
  2. Click and drag directly on the canvas to manipulate the scene.
  3. Pick an option from the dropdown to switch between scenarios.
  4. Experiment freely — there's nothing to break, and every change is reversible.

What you'll explore

Frequently asked questions

What does the Function Mapping & Domain Explorer demo do?

Function Mapping & Domain Explorer Function Explorer Visualize how inputs map to outputs and how algebraic "sins" create domain gaps. Function Mapping & Domain Explorer lets you explore this hands-on instead of only reading about it.

What Precalculus 2e concept does Function Mapping & Domain Explorer teach?

An introduction to the fundamental building blocks of precalculus, focusing on function notation, domain and range, and the properties of linear functions. It focuses on Function Notation, Domain and Range, Rates of Change, Linear Transformations from the “Functions and Linear Modeling” section.

What can I control in Function Mapping & Domain Explorer?

The “Select Relationship”, “Parameter (k): 0.0” sliders change the key inputs; you can drag elements directly on the canvas; a dropdown switches between scenarios. Every change updates the visualization in real time, so you can see exactly how each variable affects the outcome.

How does Function Mapping & Domain Explorer fit into the Precalculus 2e course?

OpenStax Precalculus 2e is a comprehensive, peer-reviewed Open Educational Resource (OER) designed to bridge the gap between algebra and calculus. The course provides a rigorous exploration of functions, trigonometry, a… This demo is the interactive piece for the “Functions and Linear Modeling” section. Open the full Precalculus 2e course wiki at https://www.getlykke.com/explore/public/precalculus-2e-197c9158-ecc9-47fe-9183-c80854bf2e26 for notes, flashcards, quizzes and the other demos.

What will I understand better after using Function Mapping & Domain Explorer?

You'll build intuition for Function Notation, Domain and Range, Rates of Change, Linear Transformations — and, crucially, see how they behave when you change the inputs, which is hard to get from a textbook or lecture on Precalculus 2e alone.

From the Precalculus 2e course

This interactive demo is part of the Functions and Linear Modeling section. Explore the full Precalculus 2e course wiki on Lykke — with notes, flashcards, quizzes and more interactive demos.

Open the Precalculus 2e course →