A relation is a set of ordered pairs.

Slides:

Advertisements

Similar presentations

4-3 Relations Objective: Students will represent relations as sets of ordered pairs, tables, mappings, and graphs. Students will find the inverse of a.

Advertisements

Standard: M8A3 c. Distinguish between relations that are functions and those that are not functions. Relations and Functions.

Math – Graphs of Functions 1. Graph of a function: the graph of all the function’s ordered pairs 2.

Review Functions. Function A function is a special type of relation in which each element of the domain is paired with exactly one element of the range.

Graphing Linear Relations and Functions

Relations and Functions

Functions Unit 8.

Functions & Relations.

8-1: Relations and Functions

Distinguish between independent and dependent variables.

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

4.6 – Formalizing Relations and Functions

4-6 Formulizing Relations and Functions

Functions, Relations, Domain, & Range

7.4 Functions Designed by Skip Tyler.

FUNCTION DEFINITION: A RELATION IN WHICH EACH ELEMENT OF THE DOMAIN IS PAIRED WITH EXACTLY ONE ELEMENT OF THE RANGE. IN OUR OWN WORDS THIS MEANS ALL X-VALUES.

Warm-Up Fill in the tables below for each INPUT-OUTPUT rule. 3)

Relations and Functions

1.7 Represent Graphs as Functions

SLOPE = = = The SLOPE of a line is There are four types of slopes

Bell - Ringer Review Plot the following coordinates:

VOCABULARY! EXAMPLES! Relation: Domain: Range: Function:

Ways to show a function Four ways to display/write a function

Objectives: Identify functions. Find the domain and range.

VOCABULARY! EXAMPLES! Relation: Domain: Range: Function:

Key Terms Relation – Any set of input that has an output

Relations and Functions

Objectives The student will be able to:

Is it a Function? Teacher Twins©2014.

An Introduction to Functions

x-Value = The horizontal value in an ordered pair or input Function = A relation that assigns exactly one value in the range to each.

UNIT QUESTION: How do we graph functions, and what can be done to change the way they look? Today’s Question: What is a function?

5.2 Relations and Functions

Do Now: Make a K-W-L Chart Complete what you KNOW about functions

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

VOCABULARY! EXAMPLES! Relation: Domain: Range: Function:

Set of first coordinates in an ordered pair. (the x values) Range:

Function, Domain, Range, Rita Korsunsky.

1.6 - Relations.

Objectives The student will be able to:

Example 1: Identifying Functions

Objectives The student will be able to:

Relations and Functions

3-1 Relations A relation is a set of points.

Functions and Relations

Is it a Function? Teacher Twins©2014.

Make a table and a graph of the function y = 2x + 4

Objectives Identify functions.

7.2 Functions and Graphs Objective: Understand functions.

By: Gilberto Rodriguez

Sec 6-4 Learning Objectives The student will be able to:

Objectives The student will be able to:

Algebra 1 Chapter 4 Functions

X Y Relation (a set of ordered pairs) x y x y ( , ) x y Mapping

Objectives The student will be able to:

Represent Functions as Rules and Tables

Relation (a set of ordered pairs)

I can determine whether a relation is a function

Objectives The student will be able to:

Distinguish between independent and dependent variables.

1.4 Relations & Functions.

Functions What is a function? What are the different ways to represent a function?

Functions BY : Ms. MANITA.

Relations and Functions

Presentation transcript:

A relation is a set of ordered pairs. What is a Relation? Graphing A relation is a set of ordered pairs. Mapping [x] [y] 13 -1] [6 24 0] [6 -2] [7 4] [7 A relation is a function when the y value is with only one x value. YES NO 13 13 24 23 24 A relation is a function when it passes the vertical line test. These can be expressed as a table of value, a graph, a map, and many more!

Domains and Functions The domain of a function is all x values. The range of a function is all the y values. Examples Auto insurance costs increase with each accident and traffic violation. A kid is buying several DVDs that cost $12 each. The rule of functions is each domain value with exactly one range value.