Take your students’ understanding of functions to the next level with this comprehensive and engaging lesson on Function Operations! In the real world, relationships between variables are often complex and require multiple functions working together to model and solve problems. This lesson explores how functions can be combined through sums and differences, products and quotients, and composite functions to represent and analyze real-world phenomena. Featuring 132 interactive Google Slides, this resource includes detailed explanations, clear graphical representations, guided instruction, worked examples, practice exercises, and step-by-step walkthroughs designed to build confidence and mastery. Whether used for classroom instruction, distance learning, review, or enrichment, this lesson provides everything needed to help students develop a deep understanding of function operations and their applications.

Objectives

10-1 Sums and Differences of Functions

• Sketching the graph of a function that is the sum or difference of two functions.
• Determining the domain and range of a function that is the sum or difference of two functions.
• Writing the equation of a function that is the sum or difference of two functions.

10-2 Products and Quotients of Functions

• Sketching the graph of a function that is the product or quotient of two functions.
• Determining the domain and range of a function that is the product or quotient of two functions.
• Writing the equation of a function that is the product or quotient of two functions.

10-3 Composite Functions

• Determining values of a composite function.
• Writing the equation of a composite function and explaining any restrictions.
• Sketching the graph of a composite function.