2.3 Introduction to Functions

Slides:

Advertisements

Similar presentations

Introduction to Functions

Advertisements

Functions and Relations.

Identifying functions and using function notation

2.3) Functions, Rules, Tables and Graphs

RELATION … any set of points RELATION … any set of points { (3,6), (-4,5), (0,2) }

4-1: Relations and Functions

Advanced Algebra Notes

9/8/ Relations and Functions Unit 3-3 Sec. 3.1.

A function from a set A to a set B is a relation that assigns to each element x in the set A exactly one element y in the set B. The set A is called the.

Functions and Relations Not relationships Relations.

3.1 Functions and their Graphs

Functions and their Operations Integrated Math 4 Mrs. Tyrpak.

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

2.1 Review of Functions Learning Objective: to remember what a function is and what to do with it. Warm-up (IN) 1.Write down everything you think of when.

2.3 – Introduction to Functions  Objectives:  State the domain and range of a relation, and tell whether it is a function.  Write a function in function.

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.

+ Represent Relations and Functions. + Relation A relation is a mapping, or pairing, of input values with output values. The set of input values in the.

Relations Relation: a set of ordered pairs Domain: the set of x-coordinates, independent Range: the set of y-coordinates, dependent When writing the domain.

Section 7.1: Functions and Representations of Functions.

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

P.O.D. Write the slope-intercept forms of the equations of the lines through the given point (2,1) & a)Parallel & b)Perpendicular to the line 4x – 2y =

2.1 Notes – Represent Relations and Functions

Determine the domain and range of each relation and determine if it’s a function or not. x y 2 1 1) {( 1 , 3),(– 1 , 3 ),( 2 , 0)} 2) D R 3 – D R.

I CAN DETERMINE WHETHER A RELATION IS A FUNCTION AND I CAN FIND DOMAIN AND RANGE AND USE FUNCTION NOTATION. 4.6 Formalizing Relations and Functions.

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.

1.1 - Functions. Ex. 1 Describe the sets of numbers using set- builder notation. a. {8,9,10,11,…}

Goal: Identify and graph functions..  Relation: mapping or pairing, of input values with output values.  Domain: Set of input values.  Range: set of.

2.1 Relations and Functions A relation is a set of pairs of input and output values. – There are four different ways to represent relations.

HPC 2.1 – Functions Learning Targets: -Determine whether a relation represents a function. -Find the value of a function. -Find the domain of a function.

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.

Functions 4-6 I can determine whether a relation is a function and find function values. S. Calahan 2008.

Warm Up Evaluate each expression for a = 2, b = –3, and c = a + 3c 2. ab – c c + b 4. 4c – b 5. b a + c 26 – x + y = 3 Solve.

Chapter 2: Linear Equations and Functions Section 2.1: Represent Relations and Functions.

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.

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 Section 5.1.

3.5 – Introduction to Functions

4.8 Functions and Relations

Relations and Functions

Relations and Functions Pages

Identifying functions and using function notation

Notes Over 2.1 Function {- 3, - 1, 1, 2 } { 0, 2, 5 }

2.1 – Represent Relations and Functions.

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

1.6 Represent Functions as Rules and Tables

Functions Introduction.

Warm Up Given y = –x² – x + 2 and the x-value, find the y-value in each… 1. x = –3, y = ____ 2. x = 0, y = ____ 3. x = 1, y = ____ –4 – −3 2 –

Relations and Functions

5.2 Relations and Functions

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

2-1 Relations and Functions

2.1: Relations and Functions

4.8 Functions and Relations

Introduction to Functions

Relations & Functions.

Objectives The student will be able to:

3.5 – Introduction to Functions

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

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

Introduction to Functions

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.

2.3 Represent Relations & Functions p. 33

Introduction to Functions & Function Notation

Functions and Relations

3.5 – Introduction to Functions

3.5 – Introduction to Functions

Domain-Range f(x) Notation

Presentation transcript:

2.3 Introduction to Functions Learning Objective: to state the domain and range of a relation and tell whether it is a function and to write a function in function notation and evaluate it. Warm-up (IN) Evaluate each expression. -7 3 16 -1.44 -8 0.001

Notes A set of #s pairing input and output values Relation – Domain - Learning Objective: to state the domain and range of a relation and tell whether it is a function and to write a function in function notation and evaluate it. Notes Relation – A set of #s pairing input and output values Domain - The set of input values Range - The set of output values Function - A relation where there is exactly one output for every input EX 1 – Identify the domain and range of the relation, then determine if it’s a function. D: 1,2,3,4 R: -4,1,3 Yes, Function D: -2,1,3,4 R: 1,2,3,4 No, Not a Function

EX 2 – Identify the domain and range of the graph. Learning Objective: to state the domain and range of a relation and tell whether it is a function and to write a function in function notation and evaluate it. c. x y Yes, Function -2 -1 1 2 -5 -3 domain range 1 1 3 EX 2 – Identify the domain and range of the graph. b. a. D: -3,-2,1,3 R: -3,0,1,2

Learning Objective: to state the domain and range of a relation and tell whether it is a function and to write a function in function notation and evaluate it. Vertical Line Test – a relation is a function if and only if no vertical line intersects the graph at more than one point. Ex 3 – Is the graph a function? a. b. c. yes yes no

can be written in the form Learning Objective: to state the domain and range of a relation and tell whether it is a function and to write a function in function notation and evaluate it. Linear Function – can be written in the form Function Notation – read: “f of x”, or “the value of f at x” f(x) is the same as y! Independent Variable – the input, or x Dependent Variable - the output, or f(x)

Learning Objective: to state the domain and range of a relation and tell whether it is a function and to write a function in function notation and evaluate it. Ex 4 –

Out – Describe 3 ways to represent a function. Summary – I think I can remember… HW – p. 108-110 #17-57 odd, 64,65, 67-69,75