Math 71 2.2 – Graphs of Functions 1. Graph of a function: the graph of all the function’s ordered pairs 2.

Slides:

Advertisements

Similar presentations

DOMAIN AND RANGE OF RELATIONS AND GRAPHS. Vertical Line Test Def: A relation is a function if there are no vertical lines that intersect the graph at.

Advertisements

Discrete and Continuous Functions

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

Graphing Piecewise Functions

Chapter 4.8: Determine if the Relation is a Function.

2.3 Analyzing Graphs of Functions. Graph of a Function set of ordered pairs.

Section 2.2 Functions  Functions & Graphs  Function Notation & Equations  Applications: Interpolation & Extrapolation 12.2.

Chapter 2 Section 3. Introduction to Functions Goal:Find domain and range, determine if it’s a function, use function notation and evaluate. Definition.

2.3 Introduction to Functions

What is the symmetry? f(x)= x 3 –x.

Chapter 1-6: Ordered Pairs and Relations Coordinate system: used to locate points also call the Coordinate plane Origin: is a (0,0) and is the point at.

MATH II – Math I review

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

HAWKES LEARNING SYSTEMS math courseware specialists Copyright © 2011 Hawkes Learning Systems. All rights reserved. Hawkes Learning Systems: Developmental.

Math 71B 9.3 – Logarithmic Functions 1. One-to-one functions have inverses. Let’s define the inverse of the exponential function. 2.

2.2 The Graph of a Function Should I give up, or should I just keep chasing pavement, even if it leads nowhere? -Adele.

Goal: Identify and graph functions..  Relation: mapping or pairing, of input values with output values.  Domain: Set of input values.  Range: set of.

Math – Exponential Functions

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 June 18, 2016 Goals:   Identify functions in coordinate, table, or graph form   Determine domain and range of given functions.

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.

Graphing Linear Relations and Functions

Functions Section 5.1.

Graphing Trigonometric Functions

Relations and Functions

Functions Unit 8.

8-1: Relations and Functions

Section 3.6 Functions.

College Algebra Chapter 2 Functions and Graphs

2-1 Relations and Functions

Relations and Functions

Algebra 2 September 16, 2018 Goals:

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

4-6 Formulizing Relations and Functions

Functions, Relations, Domain, & Range

1-1 Relations and Functions

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.

1.7 Represent Graphs as Functions

Relations and Function

Does graph represent a function? State the domain & range.

Is it a Function? Teacher Twins©2014.

College Algebra Chapter 2 Functions and Graphs

Function Tables and Graphs

September 30, 2011 At the end of today, you will be able to: Analyze and graph relations. Find functional values. Warm-up: Evaluate the expression if:

The Graph of a function Objectives: Identify the graph of a function

6.1 Relations and Functions Math 8CP.

Introduction to Functions

Analyzing Graphs of Functions

2.1: Relations and Functions

Relations and Functions

3.5 – Introduction to Functions

Warm Up What three terms come next? 1. 9, 12, 15, 18, . . .

RELATIONS & FUNCTIONS CHAPTER 4.

Is it a Function? Teacher Twins©2014.

Make a table and a graph of the function y = 2x + 4

Warm Up What three terms come next? 1. 9, 12, 15, 18, . . .

The Graph of a function Objectives: Identify the graph of a function

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

2.3 Represent Relations & Functions p. 33

Evaluating and graphing

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

Relation (a set of ordered pairs)

Packet #12 Composite, One-to-one, and Inverse Functions

Exponential Functions and Their Graphs

2.2 The Graph of a Function Should I give up, or should I just keep chasing pavement, even if it leads nowhere? -Adele.

Functions and Relations

2-1 Relations & Functions

2.2 The Graph of a Function Should I give up, or should I just keep chasing pavement, even if it leads nowhere? -Adele.

Domain-Range f(x) Notation

Presentation transcript:

Math – Graphs of Functions 1

Graph of a function: the graph of all the function’s ordered pairs 2

To test if a graph is a function we can use the __________________________________. If any vertical line intersects a graph in two or more points, then the graph does not represent a function. 3

To test if a graph is a function we can use the __________________________________. If any vertical line intersects a graph in two or more points, then the graph does not represent a function. 4 vertical line test

Ex 1. Which of the following graphs are functions? 5

Ex 1. Which of the following graphs are functions? 6

domain – set of all possible _______________ range – set of all possible _________________ 7 Domain and Range of Functions

domain – set of all possible _______________ range – set of all possible _________________ 8 Domain and Range of Functions

domain – set of all possible _______________ range – set of all possible _________________ 9 Domain and Range of Functions

Ex 2. Use the graph of each function to find its domain and range. Domain __________________________Range __________________________ 10 Domain and Range of Functions

Ex 2. Use the graph of each function to find its domain and range. Domain __________________________Range __________________________ 11 Domain and Range of Functions

Ex 2. Use the graph of each function to find its domain and range. Domain __________________________Range __________________________ 12 Domain and Range of Functions

Ex 2. Use the graph of each function to find its domain and range. Domain __________________________Range __________________________ 13 Domain and Range of Functions

Ex 2. Use the graph of each function to find its domain and range. Domain __________________________Range __________________________ 14 Domain and Range of Functions

Ex 2. Use the graph of each function to find its domain and range. Domain __________________________Range __________________________ 15 Domain and Range of Functions

Ex 2. Use the graph of each function to find its domain and range. Domain __________________________Range __________________________ 16 Domain and Range of Functions

Ex 2. Use the graph of each function to find its domain and range. Domain __________________________Range __________________________ 17 Domain and Range of Functions

Ex 2. Use the graph of each function to find its domain and range. Domain __________________________Range __________________________ 18 Domain and Range of Functions

Ex 2. Use the graph of each function to find its domain and range. Domain __________________________Range __________________________ 19 Domain and Range of Functions

Ex 2. Use the graph of each function to find its domain and range. Domain __________________________ Range __________________________ 20 Domain and Range of Functions

Ex 2. Use the graph of each function to find its domain and range. Domain __________________________ Range __________________________ 21 Domain and Range of Functions

Ex 2. Use the graph of each function to find its domain and range. Domain __________________________ Range __________________________ 22 Domain and Range of Functions