Page 8: Continuation

This page appears to be a continuation or placeholder for additional content related to understanding linear functions and inequalities. While no specific content is provided, it suggests that the document may include further examples, practice questions, or explanations to reinforce the concepts of domain and range.

The presence of this page indicates that the resource is comprehensive and may cover additional aspects of linear functions and inequalities beyond what has been presented in the previous pages.

Page 3: Identifying Range from Complex Graphs

This page builds upon the previous concepts, challenging students with a more complex graphical representation to determine the range of a function. This exercise further enhances students' proficiency in understanding linear functions and inequalities.

The main focus is on a practice question presenting a graph with multiple points and asking students to identify the correct range.

Highlight: The graph shows discrete points rather than a continuous line, requiring students to carefully consider all plotted y-values.

The page guides students through the process of elimination, emphasizing the distinction between domain (x-values) and range (y-values). This approach reinforces critical thinking skills essential for solving linear equations with real-world examples.

Example: By observing the y-values on the graph, students can determine that the range is {y|-3 ≤ y ≤ 4}, representing all y-values between and including -3 and 4.

This example demonstrates how to express range using inequality notation, an important skill in describing domain and range in mathematical functions.

Page 1: Introduction to Domain and Range

This page introduces the concept of domain and range in linear functions, emphasizing their importance in solving linear equations with real-world examples.

The page begins with a clear definition of the learning objective: demonstrating understanding of how to write and solve linear functions, equations, and inequalities. It then presents a specific expectation for students to determine domain and range in various contexts.

Definition: Domain refers to the set of possible input values (x-values) for a function, while range represents the set of possible output values (y-values).

A practice question is provided, asking students to determine the domain of a function representing the cost of volleyball uniforms.

Example: For the function c = 34.95u + 6.25, where c is the total cost and u is the number of uniforms, the domain is {8, 9, 10, 11, 12} based on the given constraints of 8-12 players on the team.

This example effectively illustrates how real-world constraints can define the domain of a function, reinforcing the practical applications of domain and range in mathematical functions.