PPT-Chapter 1-6: Ordered Pairs and Relations

Coordinate system used to locate points also call the Coordinate plane Origin is a 00 and is the point at which the number lines intersect XAxis the horizontal number line YAxis the vertical number line. Chapter 9. 1. Chapter Summary. Relations and Their Properties. n. -. ary. Relations and Their Applications (. not currently included in overheads. ). Representing Relations. Closures of Relations (. Synonymy, inclusion, opposites (complementary), antonyms , reverses , converses), nakedness , polarity.. Prepared by:. Muhammad Baker. Narmin Othman. Pishtiwan Abdullah. Opposites (Complementary). In traditional terminology, . Complete by constructing ratio tables . in your notes.. 1.To make 5 apple pies, you need 2 pounds of apples. How many pounds of apples do you need to make 20 pies? . 2. Four balls of wool will make 8 knitted caps. How many balls of wool will it take to make 6 caps? . Objective:. To graph relations. To identify functions. Relations. A relation is a set of pairs of input and output values.. You can write a relation as a set of ordered pairs.. Graphing Relations. To graph relations, plot the points. . Properties. L Al-. zaid. Math1101. 1. The Binary Relation. DEFINITION 1. Let A and B be sets. A . binary relation . from A to B is a subset of . AxB. .. In other words, . a binary relation. Section 9.3. Representing Relations Using Matrices. A relation between finite sets can be represented using a zero-one matrix. . Suppose . R. is a relation from . A. = {. a. 1. , . a. 2. , …, . a. on . your . homework. .. 1.To make 5 apple pies, you need 2 pounds of apples. How many pounds of apples do you need to make 20 pies? . 2. Four balls of wool will make 8 knitted caps. How many balls of wool will it take to make 6 caps? . Relations and Their Properties. n. -. ary. Relations and Their Applications (. not currently included in overheads. ). Representing Relations. Closures of Relations (. not currently included in overheads. Presented By: Andrew F. Conn. Lecture #22: Relations and Representations. November 28. th. , 2016. Binary relations establish a relationship between elements of two sets. Definition: . Let . and . be two sets. A . Dionysis Protopapadakis (Appalachian State 2017). Director of Graduate Engagement. Hunter Wish (Washington State 2017). Field Secretary – Mid-Atlantic. Expectations for Today. Be honest and open to new ideas. Objectives: Determine whether a relation is a function, identify the domain and range, evaluate functions. Relation:. A set of ordered pairs. Domain (D):. The first element in an ordered pair. (abscissa). The objects of mathematics may be . related. in various ways. . A set . A. may be said to be “related to” a set . B. if . A. is a subset of . B. , or if . A. is not a subset of . B. , or if . Domain:. The x values of the ordered pair.. Range:. The y values of the ordered pair.. 3.5 – Introduction to Functions. x. y. 1. 3. 2. 5. -4. 6. 1. 4. 3. 3. x. y. 4. 2. -3. 8. 6. 1. -1. 9. 5. 6. x. B-1. Relations and Functions. ACT WARM-UP. Emily scored 145, 170, and 165 in 3 bowling games. What should she score on her next bowling game if she wants to have an average score of exactly 170 for the 4 games?.