Purple Math
Purplemath: Functions Versus Relations
This lesson offers a thorough explanation of functions, domain and range, and how to find them. Includes multiple example problems and graphs. Great review tool for Algebra students.
Illustrative Mathematics
Illustrative Mathematics: F Le Do Two Points Always Determine a Linear Function?
For this task, learners explore linear functions and whether they can always be determined by two points on the coordinate grid. It focuses on producing an explicit function f(x) in the case where the line is not vertical. Aligns with...
Illustrative Mathematics
Illustrative Mathematics: F if the Customers
This is a beginning lesson on the concept of functions. The context is a business that has a database of customer names and phone numbers in a table and students must decide if a function is involved. Aligns with F-IF.A.1 and 8.F.A.1.
Illustrative Mathematics
Illustrative Mathematics: F if Using Function Notation I
This task deals with a student error that may occur where students misinterpret function notation. Aligns with F-IF.A.1.
Illustrative Mathematics
Illustrative Mathematics: F if Your Father
This is a simple task which has students analyze functions where they assign a father to each student. It addresses the idea that not all functions have real numbers as domain and range values, and the issue of when a function admits an...
Illustrative Mathematics
Illustrative Mathematics: F if the Parking Lot
In this task about parking lot rates, students investigate what a function is and explain their reasoning. Aligns with F-IF.A.1.
Illustrative Mathematics
Illustrative Mathematics: F if Domains
In this task, students are asked to list the operations that must be performed on a variable to find the solution to each function, explain restrictions placed on the domain, and state the domain. Aligns with F-IF.A.1.
Illustrative Mathematics
Illustrative Mathematics: F if Points on a Graph
This task will help students understand the difference between between independent and dependent variables. Aligns with F-IF.A.1.
Illustrative Mathematics
Illustrative Mathematics: F if Parabolas and Inverse Functions
This task assumes an understanding of the relationship between functions and equations. Students try to solve equations in order to find the inverse of a function given in equation form: when no such solution is possible, then the...
Khan Academy
Khan Academy: Function Inputs & Outputs: Graph
Find all the inputs that correspond to a given function output, using the function's graph. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Khan Academy
Khan Academy: Recognize Functions From Graphs
Determine whether a given graph represents a function. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Khan Academy
Khan Academy: Recognize Functions From Tables
Determine whether a table of values of a relationship represents a function. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.