Functions Chapter 3.

Slides:



Advertisements
Similar presentations
Find the value of y for each of the following values of x:
Advertisements

Functions & Relations.
3-1 Graphing Relationships
Relations and Functions
Relations and Functions
Preview Warm Up California Standards Lesson Presentation.
3-2 Relations and Functions
Objectives Vocabulary Identify functions.
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:
Graphing Relationships
Holt McDougal Algebra Relations and Functions Warm Up Generate ordered pairs for the function y = x + 3 for x = –2, –1, 0, 1, and 2. Graph the ordered.
Relations and Functions
Holt McDougal Algebra Relations and Functions 3-2 Relations and Functions Holt Algebra 1 Warm Up Warm Up Lesson Presentation Lesson Presentation.
Holt Algebra Relations and Functions 4-2 Relations and Functions Holt Algebra 1 Warm Up Warm Up Lesson Presentation Lesson Presentation Lesson Quiz.
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.
Graphing Linear Relations and Functions
Relations and Functions
Relations and Functions
Graphing Relationships
Relations and Functions
Relations and Functions
Relations and Functions
Relations and Functions
EXAMPLE 1 Represent relations
Relations and Functions
Introduction to Functions
Relations and Functions
Lesson Objective: I will be able to …
Relations and Functions
I can… …Interpret graphs of functions. …Draw graphs of functions.
Relations and Functions
1.2: Graphing Linear Relations and Functions
Lesson 3-1 Graphing Relationships
Relations and Functions
Relations and Functions
Ways to show a function Four ways to display/write a function
Before: October 19, 2017 A function is represented by f (x) = 2x + 5. Find f (3). Create a table representing the above function with a domain: {1,2,3,4}
Relations.
Relations and Functions
Warm Up Lesson Presentation Lesson Quiz.
Objectives Identify functions.
Relations and Functions
Relations and Functions
Relations and Functions
2-1: Graphing Linear Relations and Functions
4.4 – relations, domain, & range
Relations for functions.
Functions & Relations.
Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.
Objectives The student will be able to:
Relations and Functions
Functions and graphs Sec 7 1-C pg
Vocabulary Word Definition Relation A set of ordered pairs.
Warm Up State whether each word or phrase represents an amount that is increasing, decreasing, or constant. 1. stays the same 2. rises 3. drops 4. slows.
Relations and Functions
Example 1: Identifying Functions
Relations and Functions
Relations and Functions
Relations and Functions
Warm Up State whether each word or phrase represents an amount that is increasing, decreasing, or constant. 1. stays the same 2. rises 3. drops 4. slows.
Objectives Identify functions.
Warm Up State whether each word or phrase represents an amount that is increasing, decreasing, or constant. 1. stays the same 2. rises 3. drops 4. slows.
Relations and Functions
Objectives The student will be able to:
Objectives Identify functions.
Warm Up Generate ordered pairs for the function
Relations and Functions
Chapter 2 Functions, Equations, and Graphs
Domain & Range Algebra 1, Unit 3, Lesson 3.
Functions Chapter 3.
Presentation transcript:

Functions Chapter 3

Lesson 3.1 Graphing Relationships

Relating Graphs to Situations 1. Read the graphs from LEFT to RIGHT to show time passing. List key words in order and decide which graph shows them. Pick the graph that shoes all the key phrases in order

Sketching Graphs for Situations Continuous Graphs Graphs that are connected lines or curves Discrete Graphs Graphs that only have distinct points

Sketching Graphs for Situations Simon is selling candles to raise money for the school dance. For each candle he sells, the school will get $2.50. He has 10 candles that he can sell.

Lesson 3.2 Relations and functions

Showing Multiple Representations of Relations Relationships that can be represented by a set of ordered pairs are called relations. Relations can be shown as TABLES, GRAPHS, and as a MAPPING DIAGRAM

Finding the Domain and Range of a Function The domain of a relation is the set of first coordinates (or x-values) of the ordered pairs. The range of a relation is the set of second coordinates (or y-values) of the ordered pair. These can also be written as compound inequalities when taken from a graph.

Identifying Functions A function is a special type of relation that pairs each domain value with EXACTLY one range value.