Introduction to Math 3 Objective: To review functions and function notations Main Topics in Unit 1: Functions and their Inverses.

Slides:



Advertisements
Similar presentations
Piecewise-defined Functions ½ x – 2, x > 2 f(x) =f(x) =3, x = 1 –2x + 3, –2 x < 1 Ex. 1: x y h/d x y h/d y x O x – 1, x < –3 f(x) =f(x) = x – 3, x = 4.
Advertisements

Ch 1.2: Functions. DEFINITIONS Relation: a set of ordered pairs or 2 quantities related by a rule Function: a relation in which an element of the domain.
Business Math 1006: Section 3.1 Functions. Definition of Function A function consists of a set of inputs called the domain, a set of outputs called the.
7.2 I NVERSES OF R ELATIONS AND F UNCTIONS. A CTIVITY ON PAGE 497 What did you discover? What is the relationship between the domain and range of a function.
Section 1.2 Basics of Functions
Graphing Piecewise Functions
Each element in A must be matched with an element in B Ex– (0,3) (3,2) (9,4) (12,5) Some elements in the range may not be matched with the domain. Two.
1.4 FUNCTIONS!!! CALCULUS 9/10/14 -9/11/14. WARM-UP  Write a general equation to represent the total cost, C, in a business problem. How is it different.
Chapter 2 Section 3. Introduction to Functions Goal:Find domain and range, determine if it’s a function, use function notation and evaluate. Definition.
Advanced Algebra II Notes 4.2 Function Notation Relation: Any set of ordered pairs. Any relationship between two variables. Function: A relation in which.
Functions Domain & Range Evaluate with Function Notation.
Notes Over 8.4 Rewriting Logarithmic Equations Rewrite the equation in exponential form.
2.3 Introduction to Functions
Chapter 2 Section 1. Objective Students will interpret the meaning of presented data and determine if the data represents a function. They will also be.
Jeopardy Topic 1Topic Q 1Q 6Q 11Q 16Q 21 Q 2Q 7Q 12Q 17Q 22 Q 3Q 8Q 13Q 18Q 23 Q 4Q 9Q 14Q 19Q 24 Q 5Q 10Q 15Q 20Q 25.
MATH II – Math I review
LESSON 7.4 Function Notation To learn function notation To evaluate functions by substitution, by using the graphs drawn by hand, and on the graphing calculator.
Annie Tarwater Math If your car gets 20 miles to the gallon and you have 10 gallons of gas in your car how many miles will your car drive.
1 Lesson 6 – Introduction to Functions: Concepts and Notations Math 2 Honors - Santowski 6/12/2016 Math 2 Honors - Santowski.
1 Lesson 1 - Functions: Concepts and Notations IB Math SL1 - Santowski 11/23/2016 Math SL 1 - Santowski.
Identifying functions and using function notation
Warm Up Use the graph for Problems 1–2.
Functions Section 5.1.
The first chapter is primarily a review of topics that you’ve seen in Pre-Calculus and other classes. If you are having trouble with any of these topics,
10 Quadratic Equations.
Relations and Functions
Foundation of Functions Relations and Functions/ Domain and Range
Section 2.1 Functions and Their Graphs
Opening Routine.
3.5 – Introduction to Functions
Chapter Functions.
Please find a seat in a student desk where you will learn.
Bell Ringer #5 Give me one example of each: Irrational number
6-7 Inverse Relations and Functions
4.8 Functions and Relations
Relations and Functions Pages
Piecewise Functions Notes
Functions, Relations, Domain, & Range
UNIT SELF-TEST QUESTIONS
FUNCTION DEFINITION: A RELATION IN WHICH EACH ELEMENT OF THE DOMAIN IS PAIRED WITH EXACTLY ONE ELEMENT OF THE RANGE. IN OUR OWN WORDS THIS MEANS ALL X-VALUES.
Introduction to Functions
1-1 RELATIONS & FUNCTIONS
Warm-Up Fill in the tables below for each INPUT-OUTPUT rule. 3)
Welcome to Math 3 honors.
2.1 – Represent Relations and Functions.
A set of ordered pairs List values in order Do not repeat values
Functions Introduction.
Evaluating Piecewise and Step Functions
Piecewise Functions At least 2 equations, each of which applies to a different part of the functions domain. It is like having 3 equations for 3 different.
Piecewise-defined Functions
1.6 Relations and Functions
Graphing and Evaluating The Piecewise Function A Series of Examples
Functions F.IF.1 Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly.
Basics of Functions and Their Graphs
Chapter 3 Graphs and Functions.
4.8 Functions and Relations
Introduction to Functions
Chapter 1: Linear Functions, Equations, and Inequalities
2.3 RELATIONS AND FUNCTIONS
Objective SWBAT use graphs to represent relations and functions.
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, . . .
Section 1 – Relations and Functions
Evaluating and graphing
3.5 – Introduction to Functions
3.5 – Introduction to Functions
Lesson 6a – Introduction to Functions: Concepts and Notations
3 Chapter Chapter 2 Graphing.
Presentation transcript:

Introduction to Math 3 Objective: To review functions and function notations Main Topics in Unit 1: Functions and their Inverses

Is it a Function? Determine if the relationships stated below represent a function. (x, y) = (boys name, color of hair) (x, y) = (color of hair, boys name) (x, y) = (price of calculator, amount of sales tax) (x, y) = (zip code of student, student height) (x, y) = (miles driven since you last filled up, amount of gas in gas tank)

With your group, create 3 additional relationships With your group, create 3 additional relationships. Follow the criteria below when creating the relationship.   Not A Function Is A Function Is still a function if you exchange the x and y variables.

Just to Summarize? What makes a function? A relation from a set X to a set Y is called a function if each element of X is related to exactly one element in Y. ... Relation from X to Y that is a function: { (1,d) , (2,d) , (3, a) } This is a function since each element from X is related to only one element in Y. Vertical Line Test

Unit 1 Domain, Range Objective: To evaluate systems of equations including Domain and Range

Unit 1 Piecewise Functions Objective: SWBAT evaluate piecewise functions