Math Example--Function Concepts--Domain and Range of a Function--Example 6

Topic

Arithmetic

Description

The example demonstrates example 6: the problem requires identifying the domain and range of a given function. the function appears to be represented graphically as a horizontal line, and the results need to be shown on a graph. the domain and range values should be defined using inequalities, and the solution should be visually represented on the provided coordinate grid. This is illustrated by the accompanying image, which shows solution: Since the function is a horizontal line, it is continuous along the x-axis from -3 to 3. therefore, the domain is defined as -3 ≤ x ≤ 3, covering all x-values between -3 and 3. the range, being a single y-value where the line is located, is {3}. this information is shown graphically, with the x-values from -3 to 3 highlighted as the domain, and the constant y-value 3 as the 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.