Identify Functions

1 Warmup

Using this sketch, you’ll distinguish independent and dependent variables.

Worksheet

2 Examples and Non-Examples

Using this sketch, you’ll learn to distinguish a function from a non-function.

Worksheet

3 Objectives

This page supports the Identify Functions lesson from Unit 1: Introducing Geometric Transformations as Functions.

By the end of this lesson, you’ll be able to perform these actions and answer these questions:

• Vary variables. You will drag independent points and observe and describe the behavior of dependent point(s).
• Distinguish independent variables from dependent variables. You will become comfortable thinking of points as variables that may be independent, or may be dependent on other variables.
• Distinguish functions from non-functions. You will use the drag test to determine how examples of functions are different from examples of non-functions.
• Define the term “function.” You will formulate and discuss your own definition of function.
• Apply your definition. You will use your definition to categorize relations as functions or not functions.
• Use the term “relation.” You will become familiar with use of the term relation to describe variables with a relationship that may or may not be a function.

3 The Fine Print

Requirements:

These activities require web access using a browser that supports HTML5 and JavaScript. (That means almost any current browser.) No purchase is required, and there’s no advertising anywhere.

Release Information

Update History:

03 Apr 2018: Added a sketch page, revised worksheet, and revised objectives.
21 Oct 2017: Migrated to FC site.