Math Example--Function Concepts--Domain and Range of a Function--Example 7

Topic

Arithmetic

Description

The example demonstrates find the domain and range for a continuous linear function extending infinitely in both directions. show the results graphically and describe the domain and range. This is illustrated by the accompanying image, which shows since the function extends infinitely, use inequalities to express the domain and range. the domain is -∞ ≤ x ≤ +∞, and the range is -∞ ≤ f(x) ≤ +∞. The graph illustrates a continuous line extending diagonally across the coordinate plane, indicating that both x and f(x) values are unrestricted and can span all real numbers.

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.