Precalculus Functions & Graphs Notes 2.4 Definition of Functions Purple Pink Red Green White Blue 1 $1 50 25 10 5 Mapping or Correspondence DomainRange.

Slides:

Advertisements

Similar presentations

Section 3.4 Objectives: Find function values

Advertisements

Section 8.1 The Slope of a Line

1.2 Relations and Functions

EXAMPLE 4 Graph a translated square root function Graph y = –2 x – Then state the domain and range. SOLUTION STEP 1 Sketch the graph of y = –2 x.

Mrs. Smith’s 7th Grade Reading Blue Class Mrs. Smith’s 7th Grade Reading Blue Class Mrs. Smith’s 7th Grade Reading Blue Class.

1.Definition of a function 2.Finding function values 3.Using the vertical line test.

Graphing Piecewise Functions

Lesson 6.5, For use with pages

Kids S1 Vocabulary U1 Colors. Listen and say the color:

Section 3.5 Piecewise Functions Day 2 Standard: MM2A1 ab Essential Question: How do I graph piecewise functions and given a graph, can I write the rule?

If you say 8 color the ones in your picture purple. If you say 9 color the ones in your picture blue.

Unit 1 Review Standards 1-8. Standard 1: Describe subsets of real numbers.

Notes Over 2.3 The Graph of a Function Finding the Domain and Range of a Function. 1.Use the graph of the function f to find the domain of f. 2.Find the.

IFDOES F(X) HAVE AN INVERSE THAT IS A FUNCTION? Find the inverse of f(x) and state its domain.

Domain and Range Restriction Pt What are the different symbols that you use when writing domain and range restrictions? Write your answer in a.

Spring Colors Enter our Garden to see all of the beautiful flowers that bloom in the Spring time.

Monkey, Monkey In the Tree. Monkey, monkey in the tree Throw the yellow coconut down to me!

Olga Vareli No!No! No!No! Yes!Yes! Black Olga Vareli.

1.1 - Functions. Ex. 1 Describe the sets of numbers using set- builder notation. a. {8,9,10,11,…}

8.2 The Reciprocal Function Family Honors. The Reciprocal Functions The Reciprocal function f(x) = x ≠0 D: {x|x ≠ 0} R: {y|y ≠ 0} Va: x = 0 Ha: y = 0.

Ch. 1 – Functions and Their Graphs

CHAPTER 2 SECTION 1.

Increasing Decreasing Constant Functions.

Watch Pete the Cat here:

Surveys and Graphs.

Absolute Value functions

College Algebra Chapter 2 Functions and Graphs

The Second Derivative.

Butterfly Maths Each caterpillar must be coloured the correct pattern for it to turn into a butterfly. Work out each problem to know how to colour each.

Colors/Color Words.

Domain and range.

Functions FUNCTIONS AND THEIR GRAPHS Essential Questions:

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

3.1: Increasing and Decreasing Functions

Average Number of Photons

A function f is increasing on an open interval I if, for any choice of x1 and x2 in I, with x1 < x2, we have f(x1) < f(x2). A function f is decreasing.

Unit 6 New school uniforms

Warm-up: Determine which of the following are functions. A. B.

Jeopardy Final Jeopardy Vocabulary Function Tables Random $100 $100

Relations and Function

Can I color yellow?. Can I color yellow?

Partner Whiteboard Review.

College Algebra Chapter 2 Functions and Graphs

(1,4) (9,8) Coordinate Plane Game (3,5) (7,6) (0,10) (2,0) (8.1) (4,7)

Functions PreCalculus 1-2.

What Color is it?.

Day 98 – Understanding Reasonable Domain

Graphs of Functions FUNCTIONS AND THEIR GRAPHS Essential Questions:

Exponential Functions

C c Cc is for cat. © ©

Introduction to Functions

Ex1 Which mapping represents a function? Explain

Shell Jeopardy! Add your name here.

“Why so serious?”.

Characteristics.

Functions: Is it? Domain/Range? Evaluate!

Characteristics.

Help Gina and Tina color the numbers

Help Gina and Tina colour the numbers

Exponential Functions and Their Graphs

f(x) g(x) x x (-8,5) (8,4) (8,3) (3,0) (-4,-1) (-7,-1) (3,-2) (0,-3)

Domain-Range f(x) Notation

Presentation transcript:

Precalculus Functions & Graphs Notes 2.4 Definition of Functions Purple Pink Red Green White Blue 1 $ Mapping or Correspondence DomainRange Domain - what goes in.Range - what comes out.

Precalculus Functions & Graphs Notes 2.4 Definition of Functions Purple Pink Red Green White Blue 1 $ Mapping DomainRange

Precalculus Functions & Graphs Notes 2.4 Definition of Functions Purple Pink Red Green White Blue 1 $ Mapping DomainRange Do you think this mapping is fair? Why or why not?

Precalculus Functions & Graphs Notes 2.4 Definition of Functions Purple Pink Red Green White Blue 1 $ Mapping DomainRange Do you think this mapping is fair? Why or why not? $2

Precalculus Functions & Graphs Notes 2.4 Definition of Functions Purple Pink Red Green White Blue 1 $ Mapping DomainRange Do you think this mapping is fair? Why or why not? Yellow

Precalculus Functions & Graphs Notes Function 2.4 Definition of Functions Domain Range

f(x 1 ) TerminologyDefinitionGraphical Interpretation f is increasing on an interval I. f is decreasing on an interval I. f is constant on an interval I. Precalculus Functions & Graphs Notes 2.4 Definition of Functions x1x1 x2x2 f(x 2 ) x1x1 x2x2 f(x 1 ) f(x 2 ) x1x1 x2x2 f(x 1 ) f(x 2 )

Precalculus Functions & Graphs Example #1 If a and h are real numbers, find: 2.4 Definition of Functions

Precalculus Functions & Graphs You Try #1 If a and h are real numbers, find: 2.4 Definition of Functions This is not multiple choice just enter the answer.

Precalculus Functions & Graphs You Try #2 If a and h are real numbers, find: 2.4 Definition of Functions This is not multiple choice just enter the answer.

Precalculus Functions & Graphs You Try #3 If a and h are real numbers, find: 2.4 Definition of Functions This is not multiple choice just enter the answer.

Precalculus Functions & Graphs Example #2 If a and h are real numbers, find: 2.4 Definition of Functions

Precalculus Functions & Graphs Example #2 Continued If a and h are real numbers, find: 2.4 Definition of Functions

Precalculus Functions & Graphs Example #3 If a is a positive real number, find: 2.4 Definition of Functions

Precalculus Functions & Graphs You Try #4 If a is a positive real number, find: 2.4 Definition of Functions Not a Quizdom Question

Precalculus Functions & Graphs Example #4 Explain why the graph is or is not the graph of a function. 2.4 Definition of Functions

Precalculus Functions & Graphs You Try #5 Is the graph the graph of a function, yes or no? 2.4 Definition of Functions

Precalculus Functions & Graphs Example #5 Determine the domain D and the range R of the function? 2.4 Definition of Functions

Precalculus Functions & Graphs You Try #6 Determine the domain D and the range R of the function? 2.4 Definition of Functions Answer choices will appear after you have had time to work the problem.

Precalculus Functions & Graphs Example #6 Find the domain of f. 2.4 Definition of Functions

Precalculus Functions & Graphs Example #7 Sketch the graph of f. Find the domain D and range R of f. Find the intervals on which f is increasing, is decreasing, or is constant. 2.4 Definition of Functions

Precalculus Functions & Graphs You Try #7 Sketch the graph of f. Find the domain D and range R of f. Find the intervals on which f is increasing, is decreasing, or is constant. 2.4 Definition of Functions Not a Quizdom Question