Lesson Domain and Range: Let’s use proper notation

Slides:

Advertisements

Similar presentations

Interval Notation Notes

Advertisements

AP Calculus Notes Section 1.2 9/5/07.

Domain/Range Notations Foldable October 7, 2014 Pg in Notes

Introduction The domain of a function is all input values that satisfy the function without restriction. Typically the domain is all real numbers; however,

1.4 Solving Inequalities. Review: Graphing Inequalities Open dot:> or < Closed dot:> or < Which direction to shade the graph? –Let the arrow point the.

Warm Up 1. 5x – 2 when x = – t 2 when 3. when x = Give the domain and range for this relation: {(1, 1), (–1, 1), (2, 4), (–2, 4),

7.4 Function Notation and Linear Functions

Functions A function is a relationship between two sets: the domain (input) and the range (output) DomainRange Input Output This.

Copyright © Cengage Learning. All rights reserved.

DOMAIN AND RANGE Section Functions Identify relations, domains, and ranges.

2.3 Introduction to Functions

Solving Inequalities Solving Inequalities Objective: SWBAT solve and graph compound inequalities.

Section 1.2 Using Data to Create Scatterplots. Table of Data Year Percent of Students Buying Textbooks Online

Copyright © Cengage Learning. All rights reserved. 1 Functions and Their Graphs.

Math – What is a Function? 1. 2 input output function.

April 17 th, Look at the graphs below A set is a collection of things. A lot of times in math, we'll use set notation when our variable could.

Absolute Values Review Defn: A non-directional distance from zero. Absolute values are always non-negative. Does not exist.

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.

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 =

CHAPTER 3 GRAPHING LINEAR FUNCTIONS  What you will learn:  Determine whether relations are functions  Find the domain and range of a functions  Identify.

Unit 1: Functions Lesson 4: Domain and Range Learning Goals: I can determine domains and ranges for tables, graphs, equations, and real world situations.

Write a function rule for a graph EXAMPLE 3 Write a rule for the function represented by the graph. Identify the domain and the range of the function.

Warm up 1.a. Write the explicit formula for the following sequence

Linear Inequalities in One Variable

Chapter 1 Prerequisites for Calculus Section 1.2 Functions and Graphs.

Chapter 1 Prerequisites for Calculus Section 1.2 Functions and Graphs.

Functions Section 5.1.

Today in Pre-Calculus Turn in info sheets

Functions 12-4 Warm Up Problem of the Day Lesson Presentation

Increasing Decreasing Constant Functions.

Linear Inequalities in Two Variables

Inequality Set Notation

Chapter Functions.

PreCalculus 1st Semester

Do Now: Can you input all real numbers into the x variable in the following functions? If not what numbers can x not take on?

Topic 3 – Functions Class 1 – Domain, Range, and End Behavior

Identifying functions and using function notation

AP Calculus Chapter 1 Section 2

Functions Introduction.

Polynomial and Rational Inequalities

Chapter 1 Prerequisites for Calculus Section 1.2 Functions and Graphs.

Domain and Range From a Graph

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 –

Functions Definition: A function from a set D to a set R is a rule that assigns to every element in D a unique element in R. Familiar Definition: For every.

Chapter 3 Section 6.

Turn in your Homework to the box before the tardy bell rings.

1.5 Linear Inequalities.

Characteristics of Functions

Math I Quarter I Standards

Functions and Their Graphs

Chapter 3 Section 6.

1.1- Relations and Functions

Relations and functions

Algebra 2/Trigonometry Name: _____________________________

Essential Question: How do you use inequalities and interval notation to describe the domain and range of a graph?

Chapter 1 Prerequisites for Calculus Section 1.2 Functions and Graphs.

Unit 2 Lesson 1 Function Definitions.

Math log #29 1/30/19 a.

Functions and Relations

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.

Identifying Functions

Functions Skill 02.

Algebra 2/Trigonometry Name: _____________________________

14 PARTIAL DERIVATIVES.

Functions What is a function? What are the different ways to represent a function?

Domain & Range Algebra 1, Unit 3, Lesson 3.

Lesson 3.3 Writing functions.

Equations & Graphing Algebra 1, Unit 3, Lesson 5.

Gofo and have out Graphing Stories

Presentation transcript:

Lesson Domain and Range: Let’s use proper notation Pre Calculus 10 Lesson Domain and Range: Let’s use proper notation

State the Domain and Range

Ways to write this: the old way

Interpret the meaning Let’s begin to use the Set Notation (curly brackets are used for this, or if there is no restriction on the domain or range we simply say x and read “x belongs to all real numbers” or “the domain is all real numbers).

Task: Match each relation with its domain and range Identify what type of notation is being used to describe domain and range: words, inequalities, interval notation, number line, set notation. Choose one of the relations and express its domain and range using as many notation as you can (words, inequalities, interval notation, number line, set notation)

Your turn to play #1 Express the domain (all permissible values of independent variable) and range (all permissible values of dependent variable) using the SET NOTATION.

Your turn to play #2 Express the domain (all permissible values of independent variable) and range (all permissible values of dependent variable) using the INTERVAL NOTATION.

Your turn to play #3 Express the domain (all permissible values of independent variable) and range (all permissible values of dependent variable) using the NUMBER LINE NOTATION.

Your turn to play #4 Express the domain (all permissible values of independent variable) and range (all permissible values of dependent variable) using the INEQUALITIES NOTATION.

Your turn to play #5 Express the domain (all permissible values of independent variable) and range (all permissible values of dependent variable) using the INEQUALITIES NOTATION.

Your turn to play #6 Express the domain (all permissible values of independent variable) and range (all permissible values of dependent variable) using the NUMBER LINES NOTATION Note: This relation has a non permissible value.

So far, all the relations involved CONTINUOUS DATA. We could have DISCRETE DATA too. In such case it is best to use SET NOTATION to describe domain and range (permissible values of input and output variables) Give some examples of CONTINUOUS quantities and some examples of DISCRETE quantities.

Your turn to play #7

Given a function, there could be a need to set the domain arbitrarily (based on the context)

Graph for each of the specified domains.

Solution

Your turn to play