# ALEX Lesson Plan

## Building Functions:  Composition of Functions

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This lesson provided by:
 Author: Lorie White System: Lauderdale County School: Rogers High School
General Lesson Information
 Lesson Plan ID: 35604 Title: Building Functions:  Composition of Functions Overview/Annotation: This lesson provides a review of evaluating functions and finding function rules as well as an introduction to the composition of functions. The review is accomplished through the use of an online exploration using a function machine. The idea of a function machine is also used to explain the composition of functions. Instruction is provided in finding the composition using several different representations of functions (input/output tables, graphs, and function rules). This lesson results from the ALEX Resource Gap Project.
Associated Standards and Objectives
Content Standard(s):
 Mathematics MA2015 (2016) Grade: 9-12 Precalculus 19 ) (+) Compose functions. [F-BF1c] Example: If T(y) is the temperature in the atmosphere as a function of height, and h(t) is the height of a weather balloon as a function of time, then T(h(t)) is the temperature at the location of the weather balloon as a function of time.

Local/National Standards:

Primary Learning Objective(s):

• Students will be able to write a function rule given domain and range values.
• Students will be able to find the range values of a composition of two functions given the two function rules and a domain value.
• Students will be able to write a function rule for the composition of two functions given the function rules for the two functions.
• Students will be able to find the value of the composition of two functions given the graphs of the two functions.