Warm–up #2

Warm–up #2 Solutions y x │ –2 – 1 │ │ –1 – 1 │ │ 0 – 1 │ │ 1 – 1 │ │ 2 – 1 │ –2 – x │ y – 1 │ y

Warm–up #2 Solutions feetpressure

Homework Log Mon 11/2 Lesson 3 – 2 Learning Objective: To find domain and range of a function Hw: #303 Pg. 178 #1 – 43 odd

11/2/15 Lesson 3 – 2 Functions Day 1 Advanced Math/Trig

Learning Objective To determine if relations are functions To find domain of a function To find range of a function To find function values To use function notations

Vocabulary Relation – any set of ordered pairs Domain – set of x – values Range – set of y – values Function – relation where x – values don’t repeat. Passes Vertical Line Test on a graph f (x)  “ f of x”  replaces/same as “y” y = 2x – 4  f (x) = 2x – 4

Function 1. Find domain & range and determine if the relation is a function. {(1, 2), (5, 4), (–3, 2)} Domain: {–3, 1, 5} Range: {2, 4} Is a function because no x–value is repeated

Function 2. Find domain & range and determine if the relation is a function. {(1, 2), (3, 4), (1, 5)} Domain: {1, 3} Range: {2, 4, 5} Not a function because x = 1 twice with different y – values

Function

Function –2 – x y 1

Function 0 1 –2 – x y

Finding Domain of an Equation

Finding Range of an Equation Draw a quick sketch if need to or use graphing calculator

Find Domain & Range

a. Find f ( –2 ) = 2( –2 ) = – 4 f (–2) = – 4  (–2, –4) Find Function Values

Function Notation

Find Domain & Range

Ticket Out the Door

Homework #303 Pg. 178 #1 – 43 odd