# Lesson Plan: Composite Functions Mathematics • 10th Grade

This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to form a composite function by composing two or more functions.

#### Objectives

Students will be able to

• understand the definition of a composite function,
• recognize notation for function composition,
• form a composite function using two given functions and ,
• form a specified composite function involving more than two functions (or by composing a single function with itself),
• understand that, in general, function composition is not commutative,
• find the domain and range of a composite function,
• evaluate a composite function at a given value of when given the two (or more) original functions algebraically or graphically or when relevant values of both are given.

#### Prerequisites

Students should already be familiar with

• finding the domain and range of a function.

#### Exclusions

Students will not cover

• finding the inverse of a function,
• combining functions (using addition, subtraction, multiplication, or division).