PPT-1.1 Relations and Functions

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. Copyright © Peter Cappello. 2. Introduction. Let A & B be sets. . A . binary relation from A to B. is a . subset. of A x B.. Let . R. be a relation. If . ( a, b ) .  . R. , we write . a R b. Another natural way to define relations is to define both elements of the ordered pair (x, y), in terms of another variable . t. , called a . parameter. Parametric equations: . equations in the form. p xdxxabpxab The cumulative distribution function gives the proportion of the population that has values below t. That is, Proportion of population()()having values of below Ptpxdx x t INTRODUCTION TO . PUBLIC RELATIONS. Definitions of Public Relations. Public = (all) society ?. What is Public Relations?. Rex Harlow (PR educator) collected some definitions:. PR = good performance, respected by public. Objective: Represent relations and graph linear functions. Function. In order to be a function, each input can only have one output. The input, usually x, is called the domain and is the independent variable. BSRLM discussion. March 12. th. 2011. Institute of Education. Why equations, graphs and functions. What’s the same and what’s different?. Equations. A=1/2bh . v. 2. - u. 2. = 2as . y = 2x+5 . 3x - 5=9 - 2x . Nuffield Secondary School Mathematics. BSRLM March 12. th. 2011. Algebraic reasoning. formulating, . transforming . and understanding unambiguous generalizations of numerical and spatial situations and relations; . 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. . Table of Contents. Using Graphs to Relate Quantities. Patterns and Linear Functions. Nonlinear Functions. Graphing a Function Rule. Key Features of Graphs. Formalizing Relations & Functions. Using Graphs to Relate Quantities. The . inverse . of a relation is the set of ordered pairs obtained by . switching the input with the output. of each ordered pair in the original relation. (The domain of the original is the range of the inverse; and vice versa). Quiz:. Fill in the blank of the following sentences:. A relation is a set if ____ pairs.. Real Number System. Natural Number(whole number). . . 1, 2, 3, 4, …,100,…1000,…1242345. Integer. . Objectives:. To find the domain and range of a relation or function. To determine if a relation is a function. To classify and evaluate functions. To distinguish between discrete and continuous functions. Within contemporary organizations, reframing an EEO office and its functions within the Office of Human Resources and Strategic Talent Management (HRSTM). Employee & Labor Relations portfolio creates a paradigm shift. Such a shift interdependently aligns and couples the functions and offers an efficient 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 .