Warm Up. Lesson 25: Differentiating Between Relations and Functions Functions.

Slides:

Advertisements

Similar presentations

Advertisements

Introduction to Functions

2-1: Relations and Functions

Bell Work 1/20/15 Write in slope-intercept form the equation of the line passing through the given point and PERPENDICULAR to the given line.

RELATIONS AND FUNCTIONS

2.3) Functions, Rules, Tables and Graphs

1.2 Represent Functions as Rules and Tables

Relations and Functions

Relations and Functions

3-2 Relations and Functions

Warm Up. Lesson 27: Identifying Misleading Representations of Data Statistics and Probability.

Functions and Relations Not relationships Relations.

Chapter 4.8: Determine if the Relation is a Function.

Relations and Functions

Introduction to Functions 3 January Definition Function – a set (of points, an equation, or a graph) where each domain (input) has exactly one range.

Warm Up. FUNCTIONS DEFINED Essential Question: How can you determine if a relation is a function?

Functions: Definitions and Notation 1.3 – 1.4 P (text) Pages (pdf)

Do Now:  Identify the domain and range of the following relations:

What is the domain of the following relation? (use correct notation) { (1, 3), (4, 5.5), (6, 9), (10, 0) }

SECT. 1.1 – DAY 2. WARM UP OBJECTIVES *Identify functions and use function notation. *Find domain and range of functions.

Formalizing Relations and Functions

Chapter 2 Section 3. Introduction to Functions Goal:Find domain and range, determine if it’s a function, use function notation and evaluate. Definition.

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

ƒ(x) Function Notations

1.2 Represent Functions as Rules and Tables EQ: How do I represent functions as rules and tables??

Relations and Functions. Review A relation between two variables x and y is a set of ordered pairs An ordered pair consist of a x and y-coordinate A relation.

Thursday. Relations and Functions Chapter 2 Section 2-1 Pages

WARM UP. LESSON 64, INVERSE VARIATION EXPRESSIONS AND EQUATIONS.

Bell Ringer 10/30/ Objectives The student will be able to: 1. identify the domain and range of a relation. 2. show relations as sets and mappings.

Warm Up A ___________________ is a letter used to represent an unknown. Evaluate the expression

Algebra 1 Relations and Functions A Relation is a set of ordered pairs. The Domain of a relation is the set of first coordinates of the ordered pairs.

Holt Algebra Relations and Functions 4-2 Relations and Functions Holt Algebra 1 Warm Up Warm Up Lesson Presentation Lesson Presentation Lesson Quiz.

Function A FUNCTION is a mathematical “rule” that for each “input” (x-value) there is one and only one “output” (y – value). Set of Ordered Pairs: (input,

Holt CA Course Functions Warm Up Warm Up California Standards California Standards Lesson Presentation Lesson PresentationPreview.

Course Functions 3-4 Functions Course 3 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation.

Lesson 31 Relations and Functions NCSCOS Obj.: 2.01 Daily Objectives TLW identify the domain and range of a relation. TLW show relations as sets and mappings.

5.2 Relations and Functions. Identifying Relations and Functions Relation: A set of ordered pairs. You can list the set of ordered pairs in a relation.

Chapter 2 Section 1 Relations and Functions Algebra 2 Notes January 8, 2009.

Chapter 3: Functions and Graphs Section 3.1: The Coordinate Plane & Section 3.2: Relations and Functions.

AGENDA WARM-UP LESSON 21 AND 22 CORRECTIONS LESSON 23 AND 24 HW QUESTIONS? LESSON 25 EXIT CARD.

Holt McDougal Algebra 1 Relations and Functions GSE Algebra 1 Unit 2B D1 Identifying Functions Essential Questions How can I identify functions from various.

Algebra 2 Foundations, pg 64  Students will be able to graph relations and identify functions. Focus Question What are relations and when is a relation.

Algebra 2 June 18, 2016 Goals:   Identify functions in coordinate, table, or graph form   Determine domain and range of given functions.

Holt Algebra Relations and Functions Warm Up 1. Express the relation {(1,5), (2, 3), (3,2), (4,1)} as a table, as a graph, and as a mapping diagram.

Chapter 2 Linear Equations and Functions. Sect. 2.1 Functions and their Graphs Relation – a mapping or pairing of input values with output values domain.

Functions Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes.

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.

Relations and Functions

Relations and Functions

Relations and Functions Pages

Algebra 2 September 16, 2018 Goals:

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

1.7 Represent Graphs as Functions

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

Function Rules and Tables.

5.2 Relations and Functions

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

Warm Up What three terms come next? 1. 9, 12, 15, 18, . . .

Warm Up What three terms come next? 1. 9, 12, 15, 18, . . .

2.3 Represent Relations & Functions p. 33

Differentiating between relations and functions

Dependent Axis Y Answer Output Range f (x) Function Notation

Represent Functions as Rules and Tables

Relation (a set of ordered pairs)

Functions and Relations

2-1 Relations & Functions

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

Presentation transcript:

Warm Up

Lesson 25: Differentiating Between Relations and Functions Functions

Vocabulary Domain: input values (x-values) Range: output values (y-values) Relation: set of ordered pairs where each number in the domain is matched to one or more numbers in the range Function: mathematical relationship where each value in the domain is mapped to exactly one value in the range

Example

Vertical Line Test If a relation is graphed on a coordinate plane, the vertical line test can be used to determine if the relation is a function. Vertical line test: if a vertical line intersects a graph in exactly one point, then the graph represents a function.

Example Use the table. Graph the ordered pairs on a coordinate grid and determine whether the ordered pairs represent a function.

Functions

Example

A student reads an average of 25 pages per day while reading a 544 page novel. Write a rule in function notation to find the number of pages she has left to read at the end of any given day.

Homework questions Questions on the homework?

Correcting Homework Be kind. Pay attention If the paper in front of you has 4 or more empty squares, return it to its owner. Write “C.B. ____________” with your name

Homework 1 st and 2 nd hour: Lesson 25 # rd hour: Lesson 25 #1-15