Math Example--Function Concepts--Domain and Range of a Function--Example 4

Topic

Arithmetic

Description

The example demonstrates determine the domain and range of a continuous linear function, graph it, and describe the domain and range using inequalities. This is illustrated by the accompanying image, which shows for a continuous function, use inequalities. The domain is defined as -2 ≤ x ≤ 3. The range is defined as -2 ≤ f(x) ≤ 3. The solution includes a graph with a continuous line segment and a boxed outline showing the region that encompasses the domain and range on the coordinate grid.

Functions are a fundamental concept in mathematics, providing students with an understanding of how different mathematical relationships can be analyzed and represented. By exploring these examples, students gain hands-on experience in identifying key attributes of functions.

Seeing multiple worked-out examples helps students understand patterns and variations in problem-solving. This scaffolds their learning and builds confidence in handling complex scenarios.

Teacher’s Script: In this example, notice how we analyze the relationship between the input values and their corresponding outputs. Observe how the graph helps to visually identify the domain and range. Use the image to determine the specific attributes discussed.

For a complete collection of math examples related to Functions click on this link: Math Examples: Domain and Range Collection.