Math Example--Function Concepts--Domain and Range of a Function--Example 1

Topic

Arithmetic

Description

The example demonstrates identify the domain and range of the given function, represented by a table with input (x) and output (f(x)) values. Graph the function and define the domain and range. This is illustrated by the accompanying image, which shows graph the points based on the (x, f(x)) pairs. For the domain, list the x-coordinates in ascending order: {-2, -1, 0, 1, 2}. For the range, list the y-coordinates in ascending order: {-3, -2, 2, 3, 4}. This solution involves plotting discrete points and organizing the values to clearly define the function's domain and range.

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.