Domain & Range. Two Types of Relations Discrete Continuous.

Slides:

Advertisements

Similar presentations

Advertisements

Operations with Functions.

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),

Discrete and Continuous Functions

Math – Getting Information from the Graph of a Function 1.

2-1 Relations and Functions

Functions Teacher Twins©2014.

Functions and Relations Not relationships Relations.

Relations and Functions

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

Functions. Warm Up Solve each equation. 1.2x – 6 = x = X + 29 = x – 5 – 4x = 17 x = 14 x = - 7 x = -15 x = 11.

Drill #16 Name the set of numbers graphed. Name the set of numbers that each number belongs to Graph the following set on a number line: { -2, 0,

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

Relations and Functions Intermediate Algebra II Section 2.1.

DOMAIN, RANGE, AND INTERCEPTS NOTES: 9/8. DOMAIN The set of all input values of a function.  x RANGE The set of all output values of a function.  f(x)

Prerequisite Skills VOCABULARY CHECK Copy and complete the statement. 2. A(n) uses division to compare two quantities. ? ? The set of inputs of a function.

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.

State the domain and range of each relation. Unit 3, Lesson 2 Mrs. King.

Zeros of a Function Graph, Find solution (root/zero), State Domain/Range.

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.

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.

Warm-Up Exercises 1. Make a table for y = 2x + 3 with domain 0, 3, 6, and Write a rule for the function. ANSWER y = 3x + 1 x0369 y Input, x.

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

Chapter 1 Connections to Algebra Review

Functions Section 5.1.

Input/Output tables.

Warm Up /05/17 1. Evaluate x2 + 5x for x = -4 and x = 3. __; ___

Chapter 4 Vocabulary Functions.

Make Your Own Quiz.

Linear Functions SOL 8.14, SOL 8.16, SOL 8.17.

Identifying functions and using function notation

Relations and Functions

Notes Over 2.1 Function {- 3, - 1, 1, 2 } { 0, 2, 5 }

1-7 Notes for Algebra 1 Functions.

5.3: Function Rules, Tables, and Graphs

I can… …Interpret graphs of functions. …Draw graphs of functions.

SLOPE = = = The SLOPE of a line is There are four types of slopes

פחת ורווח הון סוגיות מיוחדות תהילה ששון עו"ד (רו"ח) ספטמבר 2015

Objective 1A f(x) = 2x + 3 What is the Range of the function

= + 1 x x2 - 4 x x x2 x g(x) = f(x) = x2 - 4 g(f(x))

1.6 Represent Functions as Rules and Tables

Section 2-1: Functions and Relations

Characteristics OF EXPONENTIAL FUNCTIONS!!!!!.

VOCABULARY! EXAMPLES! Relation: Domain: Range: Function:

Function Rules and Tables.

Activity 2.8 Study Time.

Is it a Function? Teacher Twins©2014.

Notes Over Does the table represent a function?

Copyright © 2014, 2010, 2007 Pearson Education, Inc.

5.3: Function Rules, Tables, and Graphs

Page 18 Rule: Area Formula: L x W  Input x Input  (Input) = Output

Functions Teacher Twins©2014.

2.1: Represent Relations and Functions HW: p.76 (4-20 even, all)

Absolute Value Unit 8.

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

Relations, Domain and Range

Functions Teacher Twins©2014.

Unit 2 Lesson 1 Function Definitions.

4.8 Functions and Relations

Domain and Range Domain- x-values - input Range- y-values - output D comes before R like x comes before y.

By the end of this lesson, you will know how to: Evaluate a function

Is it a Function? Teacher Twins©2014.

Sara has 610 followers on Instagram

Alegebra 2A Function Lesson 1 Objective: Relations, and Functions.

Domain ( Input ): 2, 4, 5, 7 Range ( Output ): 32, 59, 65, 69, 96.

Objective- To graph a relationship in a table.

Dependent Axis Y Answer Output Range f (x) Function Notation

Relation (a set of ordered pairs)

Functions and Relations

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

Presentation transcript:

Domain & Range

Two Types of Relations Discrete Continuous

Domain & Range: What are they?

Example #1: State the domain & range of the relation: {(-6, -1), (-5, -9), (-3, -7), (-1, 7), (6, -9)} Domain: _______________________________________ Range: _______________________________________

Example #2: State the domain & range of the relation: Domain: Range:

You Try: Domain & Range for a Discrete Relation {(6, 5), (4, 3), (6, 4), (5, 8)} {(–4, –2), (–1, 0), (1, 2), (3, 5)}

Example #3: State the domain & range of the relation: Domain: Range:

Example #4: State the domain & range of the relation: Domain: Range:

Example #5: State the domain & range of the relation: Domain: Range:

Example #6: State the domain & range of the relation: Domain: Range:

You Try: Domain & Range of a Continuous Relation

Example #7: State the range of the relation: Range:

Example #8: State the range of the relation: Domain: Range:

You Try: Domain & Range of a Continuous Relation

Why learn Domain & Range? Domain is the possible inputs values on the X axis that allows a function to work. Range is the possible outputs on the Y axis as a result of the function.

Chew on This: Does every function have a domain?

Exit Quiz 1.

2.