2.1: Represent Relations and Functions HW: p.76 (4-20 even, all)

Slides:



Advertisements
Similar presentations
Warm Up.
Advertisements

2-1 Relations and Functions
Relations and Functions
DO NOW: 6.3: w/s C: Perform the indicated operation. 1.) Find g(f(x)) if f(x) = 2x 2 – x and g(x) = 2.) Find g(h(8)) if g(x) = -x 2 and h(x) =
Functions. Warm Up Solve each equation. 1.2x – 6 = x = X + 29 = x – 5 – 4x = 17 x = 14 x = - 7 x = -15 x = 11.
Functions. What is a function? A function consists of: A function consists of: A set called the domain containing numbers called inputs, and a set called.
Math – What is a Function? 1. 2 input output function.
Relations and Functions Intermediate Algebra II Section 2.1.
SOLUTION EXAMPLE 1 Represent relations Consider the relation given by the ordered pair (–2, –3), (–1, 1), (1, 3), (2, –2), and (3, 1). a. Identify the.
Do Now: Find f(g(x)) and g(f(x)). f(x) = x + 4, g(x) = x f(x) = x + 4, g(x) = x
FUNCTIONS FUNCTIONS DOMAIN: THE INPUT VALUES FOR A RELATION. USUALLY X INDEPENDENT VARIABLE RANGE: THE OUTPUT VALUES FOR A RELATION. USUALLY.
Goal: Identify and graph functions..  Relation: mapping or pairing, of input values with output values.  Domain: Set of input values.  Range: set of.
Algebra 1 Section 3.1 Identify and express functions in various forms Many times two quantities are related to each other. The cost of buying gasoline.
Algebra 2 June 18, 2016 Goals:   Identify functions in coordinate, table, or graph form   Determine domain and range of given functions.
Chapter 8.1 vocabulary Relation Is a pairing of numbers or a set of ordered pair {(2,1) (3,5) (6, 3)} Domain: first set of numbers Range: Second set of.
Graphing Relationships
Functions Learning Objectives To understand function notation
Functions & Relations.
2-1 Relations and Functions
Relations and Functions
2-1 Relations and Functions
Algebra 2 September 16, 2018 Goals:
EXAMPLE 1 Represent relations
Relations and Functions
Warm-Up Fill in the tables below for each INPUT-OUTPUT rule. 3)
Notes Over 2.1 Function {- 3, - 1, 1, 2 } { 0, 2, 5 }
1-7 Notes for Algebra 1 Functions.
2.1 – Represent Relations and Functions.
Unit 5 Functions Pre-Algebra CCSS Heading
SLOPE = = = The SLOPE of a line is There are four types of slopes
A set of ordered pairs List values in order Do not repeat values
VOCABULARY! EXAMPLES! Relation: Domain: Range: Function:
Ways to show a function Four ways to display/write a function
1.6 Represent Functions as Rules and Tables
Functions Introduction.
VOCABULARY! EXAMPLES! Relation: Domain: Range: Function:
Function Rules and Tables.
Relations and Functions
Is it a Function? Teacher Twins©2014.
Notes Over Does the table represent a function?
An Introduction to Functions
Relations and Functions
Review Write as ax + b = 0 and then as y = ax + b. 5x + 2 = 8
4.4 – relations, domain, & range
5.2 Relations and Functions
Functions Teacher Twins©2014.
Do Now: Make a K-W-L Chart Complete what you KNOW about functions
Warm Up 10/15/14 How much of a 25% solution would you need to mix with 20 ounces of a 46% solution to obtain a 32% solution? If Jack can fetch a pail.
6.1 – Identifying and Representing Functions
Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.
VOCABULARY! EXAMPLES! Relation: Domain: Range: Function:
Functions Teacher Twins©2014.
Topic 3: Relations, Functions, Function Behavior Lesson 15 (1.7)
Functions in Algebra Pg
Functions
Objective SWBAT use graphs to represent relations and functions.
7.2 Functions Lesson #7.2 Pg. 465.
7.2 Functions Lesson #7.2 Pg. 465.
Functions Unit Pre-Algebra.
2.1: Relations and Functions
Is it a Function? Teacher Twins©2014.
Objectives Identify functions.
Unit 3 Day 4.
Relations/Sequences Objective: Students will learn how to identify if a relation is a function. They will also be able to create a variable expression.
Relations and Functions
Objective- To graph a relationship in a table.
Represent Functions as Rules and Tables
Relation (a set of ordered pairs)
Chapter 2 Functions, Equations, and Graphs
Equations & Graphing Algebra 1, Unit 3, Lesson 5.
Presentation transcript:

2.1: Represent Relations and Functions HW: p.76 (4-20 even, 21-23 all) Algebra II 2.1: Represent Relations and Functions HW: p.76 (4-20 even, 21-23 all)

What is a relation? A relation is a mapping, or pairing, of input values with output values. The set of input values is the domain, and the set of output values is the range. (Typically the domain is represented as x and the range is represented as y.)

Identify the domain and range for the following relation Identify the domain and range for the following relation. Represent the relation using a table and a mapping diagram. 1.) (-4, 3), (-2, 1), (0, 3), (1, -2), (-2, -4)

Identify the domain and range for the following relation Identify the domain and range for the following relation. Represent the relation using a table and a mapping diagram. 2.) (-2, -3), (-1, 1), (1, 3), (2, -2), (3, 1)

What is a function? A function is a relation for which each input has exactly one output. If any input has more than one output, then the relation is not a function.

Determine if the relation is a function. 1.) 2.)

Determine if the relation is a function. 3.) 4.)

Determine if the relation is a function. 5.)

Determine if the relation is a function. 6.) (-1, -1), (2, 5), (4, 8), (-5, -9), (1, -1)

Determine if the relation is a function. 7.) (2, -5), (-2, 5), (-1, 4), (-2, 0), (3, -4)

Determine if the relation is a function. 8.) 9.) 10.)