Foundations of Functions

A set of lessons covering domain, function behavior, composition, and inverse functions, designed to build strong foundational...

A set of lessons covering domain, function behavior, composition, and inverse functions, designed to build strong foundational...

Students learn to prove inverses by checking both compositions and apply the test to linear and rational examples.

Students learn that inverse graphs reflect across the line y equals x by switching x and y coordinates.

Students learn what inverse functions do and how to find them by switching x and y and solving.

Students learn how composition can create new domain restrictions from denominators and square roots.

This lesson introduces function composition: what it means, how the notation works, and why order matters.

In this lesson, students learn how to divide functions and identify the important restrictions that come with function division.

Learn how to add, subtract, and multiply functions to create new ones and understand how each operation changes the graph.

Learn how graphs bend and behave long-term, with quick checks and an interactive exit ticket.

Students learn to read graphs and describe how functions behave. Identifying increasing, decreasing, constant intervals, and key extrema.

Learn how to read domain and range from graphs, including open points, closed points, arrows, and special cases.

Learn how to read a graph and identify its domain and range using simple visual cues.