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

Slides:



Advertisements
Similar presentations
Warm Up.
Advertisements

2-1: Relations and Functions
Concepts 1 and 2. A (, ) B (, ) C (, ) D (, ) E (, )
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
The Coordinate System Locating Points Plotting Points Intro to Algebra.
1.2 Represent Functions as Rules and Tables
Algebra II w/ trig.  Coordinate Plane  Ordered pair: (x, y)  Relation: a set of ordered pairs(mapping, ordered pairs, table, or graphing)  Domain:
SECTION 5.1a Linear Functions and Graphs. A ________ is a set of __________________. relationordered pairs Relation = { (3,5),(-2,8),(-3,8),(0,-6) } The.
Module 4, Lesson 1 Online Algebra
FUNCTIONS Vocabulary: Relation Function Domain Range
2.4 Functions and Graphs Objective: Understand functions.
Warm-Up Graph the point (2, -3) If
2-1 Relations and Functions
8-1 Relations and Functions. RELATIONS Relation: A set of ordered pairs. Domain: The x values of the ordered pairs. Also known as the input value. Range:
9/8/ Relations and Functions Unit 3-3 Sec. 3.1.
5.2 Inverse Function 2/22/2013.
Relation Input Output Function Domain Range Scatter Plot Linear Equation x - intercept y- intercept Slope Rise Run.
Chapter 4.8: Determine if the Relation is a Function.
Introduction to Functions 3 January Definition Function – a set (of points, an equation, or a graph) where each domain (input) has exactly one range.
Drill #61 For each equation make an x,y chart and find 3 points for each equation. Plot each set of points on a coordinate plane. 1.x + y = x – y.
Objectives Vocabulary Identify functions.
Functions Algebra. Functions Definitions Relation – a set of coordinate points (x, y) Domain – the x-values, input Range – the y-values, output Function.
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) }
Formalizing Relations and Functions
Ch Relations and Functions Objective: To be able to determine whether a given relation is a function.
Set of first coordinates in an ordered pair. (the x values) Range:
5.2 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 – the x-
Standard: M8A3 c. Distinguish between relations that are functions and those that are not functions. Relations and Functions.
Functions. Warm Up Solve each equation. 1.2x – 6 = x = X + 29 = x – 5 – 4x = 17 x = 14 x = - 7 x = -15 x = 11.
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.
Holt CA Course Functions Warm Up Warm Up California Standards California Standards Lesson Presentation Lesson PresentationPreview.
MATH II – Math I review
Warm Up. Lesson 25: Differentiating Between Relations and Functions Functions.
Relations and Functions Intermediate Algebra II Section 2.1.
DOMAIN AND RANGE.
Relations and Functions Algebra I. Identifying Relations and Functions A relation is a set of ordered pairs. The (age, height) ordered pairs below form.
Unit 3 Lesson 1 Are We Relations? Demonstrating Mastery.
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.
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.
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.
2-1 Relations and Functions Objective: To graph a relation, state its domain and range, and determine if it is a function, and to find values of functions.
Section 4.2.  Label the quadrants on the graphic organizer  Identify the x-coordinate in the point (-5, -7)
Holt CA Course Functions Preparation for AF3.3 Graph linear functions, noting that the vertical change (change in y-value) per unit of horizontal.
1 The graph represents a function because each domain value (x-value) is paired with exactly one range value (y-value). Notice that the graph is a straight.
Section 5.2 “Relations and Functions” Wednesday, October 27, 2010.
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 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.
Notes:Relations and Functions Section 1-6 Student Objective: The students will be able to identify relations and functions and evaluate functions. 1.Definitions:
Relations and Functions Objective: To use tables and graphs to represent relations and functions.
Graphing Linear Functions
Relations and Functions
Relations and Functions
Notes Over 2.1 Function {- 3, - 1, 1, 2 } { 0, 2, 5 }
Relations and Functions
Is it a Function? Teacher Twins©2014.
An Introduction to Functions
Set of first coordinates in an ordered pair. (the x values) Range:
Warm Up Determine the domain and range for each relation. Tell me if it’s a function or not a function x –2 –1 1 2 y 3 –3 –5 {(0, 1), (1, 2), (1, 3), (2,
Is it a Function? Teacher Twins©2014.
1.4 Ordered Pairs and Relations
Dependent Axis Y Answer Output Range f (x) Function Notation
Relation (a set of ordered pairs)
I can determine whether a relation is a function
Functions What is a function? What are the different ways to represent a function?
Presentation transcript:

Warm Up

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

Key Terms Function: A relation where for every Input there is exactly ONE Output. Relation: A set or group of Ordered Pairs. Domain: The X-values or Input. Range: The Y-values or Output.

How can you tell if a Relation is a Function? XY For every X-value there is only 1 Y-value. A relation is NOT a function if an X-Value has 2 or more Y- Values. Domain:Range:

NOT a Function X Y Domain:Range:

Determining if a Graph is a Function A graph is a function if it passes the Vertical Line Test. If a vertical line is drawn anywhere on the coordinate plane, it should only touch the “function” once. Domain: Range:

NOT a Function Domain:Range:

Examples for Tickets

Function or Not a Function? X Y

Function or Not a Function? Domain and Range X Y­­__

Function or Not a Function?

Function or Not a Function? Domain and Range

Function or Not a Function?