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Thank you for being a big part of this community. To better support the initiatives around open educational resources in the state of Michigan, all resources on the Michigan Virtual Learning Object Repository (LOR) are being moved to #GoOpen Michigan on September 30th, 2018. During the transition, our LOR will be moved to an archived state, not allowing new user registration or new content to be added. An email with more details was sent to registered users of the LOR in September. To make use of the great resources on the platform, we encourage you to create an account and add your own new resources to the #GoOpen Michigan platform.

Functions, their Graphs and Operations


This unit builds on the student's prior learning of how to find a rule that takes a given input value to exactly one output value. In this unit students will be able to identify when a relation is a function and use proper vocabulary (domain and range) and function notation as well as notation for domain and range.


Families of functions will be reviewed in this unit including linear, absolute value, quadratic, radical, exponential, logarithmic, and rational families of functions. Students will use graphs, tables and equations to identify the parent function and be able make a graph from the information in an equation and vice versa. This unit also builds on students’ understanding of function transformations. Students will learn about piecewise functions and operations of functions as well as be introduced to composition of functions.


Students will continue to use the concepts learned in this unit throughout the remainder of the course and in high school courses.

Learning Targets: 
Understand the concept of a function and use function notation.
Build a function that models a relationship between two quantities.
Interpret functions that arise in applications in terms of the context.
Analyze functions using different representations.
Build new functions from existing functions.
Content Area: 
Resource Type: 
Creative Commons Licence
Common Core Math