Advanced Algebra II Notes 4.2 Function Notation Relation: Any set of ordered pairs. Any relationship between two variables. Function: A relation in which.

Slides:



Advertisements
Similar presentations
Defn: A relation is a set of ordered pairs. Domain: The values of the 1 st component of the ordered pair. Range: The values of the 2nd component of the.
Advertisements

2.3) Functions, Rules, Tables and Graphs
RELATION … any set of points RELATION … any set of points { (3,6), (-4,5), (0,2) }
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-
2.3 Introduction to Functions
1.2 Represent Functions as Rules and Tables EQ: How do I represent functions as rules and tables??
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 and Functions Algebra I. Identifying Relations and Functions A relation is a set of ordered pairs. The (age, height) ordered pairs below form.
By: Jared Martin 6 th period. Real world problem  Josh got $ for his birthday, and he bought x pair of shoes with it.
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.
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.
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.
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.
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.
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.
Functions Section 5.1.
4.6 Formalizing relations and functions
3.5 – Introduction to Functions
4.8 Functions and Relations
Relations and Functions Pages
7.4 Functions Designed by Skip Tyler.
Identifying functions and using function notation
2.1 – Represent Relations and Functions.
Relations, Functions, and Linear Equations
Functions Introduction.
Objectives The student will be able to:
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
Review Write as ax + b = 0 and then as y = ax + b. 5x + 2 = 8
Functions.
5.2 Relations and Functions
Do Now: Make a K-W-L Chart Complete what you KNOW about functions
Intro to Functions College Algebra
Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.
Objectives The student will be able to:
2-1 Relations and Functions
4.8 Functions and Relations
Introduction to Functions
Relations & Functions.
Objectives The student will be able to:
Sec. 2.2 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, . . .
Functions and Relations
Warm Up What three terms come next? 1. 9, 12, 15, 18, . . .
Objectives The student will be able to:
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.
Section 1 – Relations and Functions
f(x) y x A function is a relation that gives a single
Alegebra 2A Function Lesson 1 Objective: Relations, and Functions.
Relations and Functions
Objectives The student will be able to:
Sec 6-4 Learning Objectives The student will be able to:
Objectives The student will be able to:
Dependent Axis Y Answer Output Range f (x) Function Notation
Objectives The student will be able to:
1-7 functions Goals: Identify a function. Find function values.
3.5 – Introduction to Functions
Objectives The student will be able to:
3.5 – Introduction to Functions
Functions BY : Ms. MANITA.
Formalizing Relations and Functions
Relations and Functions, Domain & Range
Relations and Functions
LTF: Functions vocabulary
Equations & Graphing Algebra 1, Unit 3, Lesson 5.
Presentation transcript:

Advanced Algebra II Notes 4.2 Function Notation Relation: Any set of ordered pairs. Any relationship between two variables. Function: A relation in which for each independent variable (x, or input value) there is only one dependent value (y, or output value). The graph will pass the vertical line test. Function notation: f(x) = 2x + 3 rather than y = 2x + 3 Can be continuous or discrete.

Function f is defined by the equation: Function g is defined by the graph at right: Find these values: a) f(8) = __________ b) f(-7) = _________ c)g(1) = _________ d) g(-2) = __________ Find the Domain and Range of each function above: g(x) Domain _______________Range _______________ f(x) Domain ______________Range _______________

Determine whether each relation below is a function: a)b)c) d) e)f)

Determine whether each relation below is a function: g) independent variable: the age of each student in this class dependent variable: the height of each student h) independent variable: an automobile in Kentucky dependent variable: that automobile license plate number i) independent variable: the day of the year dependent variable: the time of sunset

Assignment: page 181: 1 – 12 all