This is a Desmos activity to explore domain and range of continuous functions.  Students do not need prior knowledge of domain and range; this is an exploratory instructional activity.

Investigating relations and functionsMathematics Instructional Plans (MIPs) help teachers align instruction with the Mathematics Standards of Learning (SOL) by providing examples of how the knowledge, skills and processes found in the SOL and curriculum framework can be presented to students in the classroom.

Investigating domain, range, intercepts, and zerosMathematics Instructional Plans (MIPs) help teachers align instruction with the 2016 Mathematics Standards of Learning (SOL) by providing examples of how the knowledge, skills and processes found in the SOL and curriculum framework can be presented to students in the classroom.

By the end of Grade 8, students have learned to solve linear equations in one variable and have applied graphical and algebraic methods to analyze and solve systems of linear equations in two variables. Now, students are introduced to nonlinear equations and their graphs. Students formalize their understanding of equivalent algebraic expressions and begin their study of polynomial expressions. Further, they learn that there are some actions that, when applied to the expressions on both sides of an equal sign, will not result in an equation with the same solution set as the original equation. Finally, they encounter problems that induce the full modeling cycle.
To access this resource, you will need to create a free account for the system on which it resides. The partner provides personalized features on their site such as bookmarking and highlighting which requires a user account.

In earlier grades, students defined, evaluated, and compared functions and used them to model relationships between quantities. In this module, students extend their study of functions to include function notation and the concepts of domain and range. They explore many examples of functions and their graphs, focusing on the contrast between linear and exponential functions. They interpret functions given graphically, numerically, symbolically, and verbally; translate between representations; and understand the limitations of various representations.
To access this resource, you will need to create a free account for the system on which it resides. The partner provides personalized features on their site such as bookmarking and highlighting which requires a user account.