200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 Is it a Function Simplifying Polynomials Adding and.

Slides:



Advertisements
Similar presentations
2-1: Graphing Linear Relations and Functions
Advertisements

Linear Relations and Functions
Algebra 4-6 Functions Functions
Section 1.2 Basics of Functions
4-1: Relations and Functions
SECTION 5.1a Linear Functions and Graphs. A ________ is a set of __________________. relationordered pairs Relation = { (3,5),(-2,8),(-3,8),(0,-6) } The.
2.4 Functions and Graphs Objective: Understand functions.
2-1 Relations and Functions
9/8/ Relations and Functions Unit 3-3 Sec. 3.1.
13.1 – Exploring Periodic Data
(2-1) Relations and Functions. Cartesian Coordinate Plane Def: Composed of the x-axis (horizontal) and the y-axis (vertical) which meet at the origin.
Relations and Functions
What is the domain of the following relation? (use correct notation) { (1, 3), (4, 5.5), (6, 9), (10, 0) }
Formalizing Relations and Functions
Functions Domain & Range Evaluate with Function Notation.
Standard: M8A3 c. Distinguish between relations that are functions and those that are not functions. Relations and Functions.
Polynomial Basics Simplifying Polynomials Families.
PRE-ALGEBRA. Lesson 8-1 Warm-Up PRE-ALGEBRA Relations and Functions (8-1) What is a relation? What is the “domain” of a relation? What is the “range”
5.2 Relations & Functions. 5.2 – Relations & Functions Evaluating functions Remember, the DOMAIN is the set of INPUT values and the RANGE is the set of.
Objectives 1. To determine if a relation is a function.
4.6 Formalizing Relations and Functions:
2.1 “Relations & Functions” Relation: a set of ordered pairs. Function: a relation where the domain (“x” value) does NOT repeat. Domain: “x” values Range:
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.
Do Now Find the domain & range:. Answers to Homework
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.
Math – Graphs of Functions 1. Graph of a function: the graph of all the function’s ordered pairs 2.
Rectangular Coordinate System
2.1 Notes – Represent Relations and Functions
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.
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.
State the domain and range of each relation. Unit 3, Lesson 2 Mrs. King.
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.
Goal: Identify and graph functions..  Relation: mapping or pairing, of input values with output values.  Domain: Set of input values.  Range: set of.
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.
1-6 and 1- 7: Relations and Functions Objectives: Understand, draw, and determine if a relation is a function. Graph & write linear equations, determine.
Lesson 4-6 Relations. Transparency 6 Click the mouse button or press the Space Bar to display the answers.
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 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.
Graphing Linear Relations and Functions
Relations and Functions
4.8 Functions and Relations
2-1 Relations and Functions
Relations and Functions
2-1 Relations and Functions
FUNCTIONS: A REVIEW ASSESSMENT QUESTIONS.
Algebra 2 September 16, 2018 Goals:
Relations and Functions
4.6 – Formalizing Relations and Functions
4-6 Formulizing Relations and Functions
Notes Over 2.1 Function {- 3, - 1, 1, 2 } { 0, 2, 5 }
1.7 Represent Graphs as Functions
Relations and Functions
Ways to show a function Four ways to display/write a function
Functions Introduction.
Does graph represent a function? State the domain & range.
Relations and Functions
Relations and Functions
Basics of Functions and Their Graphs
5.2 Relations and Functions
Relations and Functions
FUNCTIONS.
Algebra 4-6 Functions Functions
Relations and Functions
7.2 Functions and Graphs Objective: Understand functions.
Function And Relations Review
Ordered Pair – (11 - 2) CS-708.
Relation (a set of ordered pairs)
I can determine whether a relation is a function
Presentation transcript:

Is it a Function Simplifying Polynomials Adding and Subtracting Functions Function Basics Evaluating Functions

THIS….. IS… JEOPARDY!

Is it a function?

Yes! (Each x has only one y)

Is it a function?

No (The 3 in the domain has two different range values)

Is it a function?

No (It does not pass the vertical line test)

Is it a function?

Yes (It passes the vertical line test)

Is it a function?

Yes (Passes v- line test)

Simplify

These are the two tests used to determine whether something is a function

Mapping Diagram Vertical Line Test

If you see this in the vertical line test, you know the relation is NOT a function

A vertical line hits 2 or more points on the graph

Give the domain and range of the relation

This is what you look for in a mapping diagram to determine whether or not something is a function.

*Arrows coming from the DOMAIN: 2 arrows from one number Not a function 1 arrow from each number Function

Give the definition of a function.

A relation where each element in the domain is paired with exactly one element in the range.

If you’re told to find f(5), what do you do with the number 5?

Replace all the x’s in the function with 5

Given find f(-4)

-8

Given find f(2c)

Given Find p(3)

25

Given Find 3p(2)

51