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Functions and Their Graphs


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.

Families of functions will be introduced in this unit including linear, absolute value, exponential and quadratic 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 introduces students to the concept of functions and their inverses. Students will write expressions for simple, linear functions that have an inverse.

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

Learning Targets: 
parent functions and related family members and be able to relate those to a graph and an equation
function notation
a function maps each element of the domain to exactly one element of the range
Content Area: 
Resource Type: 
Creative Commons Licence
Common Core Math