Domain & Range. When the coordinates are listed; determining the Domain ( D ) and Range ( R ) of a function is quite easy…

Slides:

Advertisements

Similar presentations

 Inverse Relation: If an relation pairs of element of a of its domain and b of its range pairs b with a. For example: if (a, b) is an ordered pair of.

Advertisements

Parent Function Booklet: Linear, Quadratic, Cubic, Absolute Value

Graphs of Functions It essential in any higher mathematics to understand the basic shapes of all functions. This section will look at the five most widely.

Day 5 Book Section 7.8 Get 2 grids for the 2 shift problems!

THE ABSOLUTE VALUE FUNCTION. Properties of The Absolute Value Function Vertex (2, 0) f (x)=|x -2| +0 vertex (x,y) = (-(-2), 0) Maximum or Minimum? a =

Objective Video Example by Mrs. G Give It a Try Lesson 7.4  Identify and graph parent functions of the following families of functions: Linear Absolute.

Name That Graph…. Parent Graphs or Base Graphs Linear Quadratic Absolute Value Square Root Cubic Exponential Math

Prerequisite Skills VOCABULARY CHECK 1. The domain of the function is ?. 2. The range of the function is ?. 3. The inverse of the function is ?. ANSWER.

Learning Objectives for Section 2.1 Functions

2-6 Graphing Quadratic Functions A change of the high power = 1 to high power = 2.

Section 3.4 Basic Functions

Graphing Piecewise Functions

Ch 6 - Graphing Day 5 - Domain & Range. Domain the set of all inputs that will have an output most types of graphs have the domain of all real numbers.

9/18/ : Parent Functions1 Parent Functions Unit 1.

Unit 1 Test Review Write the numbers 1 to 14 on a blank piece of paper.

1.3 Families of Equations. What families of graphs have your studied? Linear Absolute Value Quadratic Square Root Cubic Cube Root.

A Library of Parent Functions Objective: To identify the graphs of several parent functions.

Solving quadratic equations by graphing. X Y I x² - 2x = 3 You have to rewrite the equation to find the vertex before you can graph this function Use.

A Library of Parent Functions. The Constant Parent Function Equation: f(x) = c Domain: (-∞,∞) Range: [c] Increasing: None Decreasing: None Constant: (-∞,∞)

Graphing Absolute Value Without a Calculator Objective: You should be able to graph absolute value functions (including their changes) without a calculator.

Unit 1 part 2 Test Review Graphing Quadratics in Standard and Vertex Form.

Friday, February 27 Graph quadratic functions on a coordinate graph.

Section 3.5B: Parent Functions

FUNCTIONS REVIEW PRE-CALCULUS UNIT 1 REVIEW. STANDARD 1: DESCRIBE SUBSETS OF REAL NUMBERS What are the categories? Where would these be placed? 7, 6,

Graphing quadratic functions part 2. X Y I y = 3x² - 6x + 2 You have to find the vertex before you can graph this function Use the formula -b 2a a = 3.

5-1 Graphing Quadratic Functions Algebra II CP. Vocabulary Quadratic function Quadratic term Linear term Constant term Parabola Axis of symmetry Vertex.

Quadratic Functions. 1. The graph of a quadratic function is given. Choose which function would give you this graph:

Quiz Prep  Graphing linear inequalities  Graphing absolute value inequalities  Graphing quadratic functions  Graphing quadratic functions in vertex.

Parent Functions. Learning Goal I will be able to recognize parent functions, graphs, and their characteristics.

Parent functions Module 2 Lesson 4.

Absolute Value Function

Function Notation and Parent Functions

Section 4.1 Notes: Graphing Quadratic Functions

f(x) = x2 Let’s review the basic graph of f(x) = x2 x f(x) = x2 -3 9

Graphing Trigonometric Functions

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

Warm Up /31/17 1. Evaluate x2 + 5x for x = 4 and x = –3. __; ___

Quadratic Functions and Their Properties

Function Transformations

Y Label each of the components of the parabola A: ________________ B: ________________ C: ________________ C B B 1 2.

Quadratics vertex form

parabola up down vertex Graph Quadratic Equations axis of symmetry

Quadratic Functions.

Literacy Research Memory Skill Challenge

Bahm’s EIGHT Steps to Graphing Quadratic Equations (y = ax2 + bx + c) like a CHAMPION! Find the axis of symmetry (x = -b/2a) Substitute.

Domain and Range.

Parent Functions.

Graphing Quadratic Functions

Section 9.1 Day 4 Graphing Quadratic Functions

Parent Functions.

Section 9.1 Day 2 Graphing Quadratic Functions

Domain and Range.

15.1 Characteristics from Vertex Form

Far left/far right Degree 1: linear Degree 2: quadratic

Domain and Range.

Identify Quadratic Functions.

Parent Function Notes Unit 4

Quadratic Graphs.

Absolute Value Equations

Analysis of Absolute Value Functions Date:______________________

Graphing Quadratic Functions

LINEAR & QUADRATIC GRAPHS

Quadratic Functions and Their Properties

Remember, the coordinates should form a straight line.

Graphing f(x) = (x - h) + k 3.3A 2 Chapter 3 Quadratic Functions

f(x) = x2 Let’s review the basic graph of f(x) = x2 x f(x) = x2 -3 9

Quadratic Functions and Equations Lesson 1: Graphing Quadratic Functions.

Presentation transcript:

Domain & Range

When the coordinates are listed; determining the Domain ( D ) and Range ( R ) of a function is quite easy…

Domain & Range When the coordinates are listed; determining the Domain ( D ) and Range ( R ) of a function is quite easy… EXAMPLE : What is the range of the given function ?

Domain & Range When the coordinates are listed; determining the Domain ( D ) and Range ( R ) of a function is quite easy… EXAMPLE : What is the range of the given function ?

Domain & Range When the coordinates are listed; determining the Domain ( D ) and Range ( R ) of a function is quite easy… EXAMPLE : What is the range of the given function ?

Domain & Range When the coordinates are listed; determining the Domain ( D ) and Range ( R ) of a function is quite easy… EXAMPLE #2 : What is the domain of the given function ?

Domain & Range When the coordinates are listed; determining the Domain ( D ) and Range ( R ) of a function is quite easy… EXAMPLE #2 : What is the domain of the given function ?

Domain & Range When the coordinates are listed; determining the Domain ( D ) and Range ( R ) of a function is quite easy… EXAMPLE #2 : What is the domain of the given function ?

Domain & Range

Linear graphs have no holes in them and continue in either direction infinitely…

Domain & Range

A quadratic function is similar to a linear function…no holes or breaks in the graph

Domain & Range A quadratic function is similar to a linear function…no holes or breaks in the graph So the domain contains all real numbers…

Domain & Range

Absolute Value : Acts like a quadratic…

Domain & Range Absolute Value : Acts like a quadratic… Domain is all real numbers…

Domain & Range Absolute Value : Acts like a quadratic… Domain is all real numbers… Range : Find the vertex and see which way the graph is pointing…

Domain & Range

What if only the function is given and not the graph ? How do you determine the domain and range ?

Domain & Range What if only the function is given and not the graph ? How do you determine the domain and range ? For all linear and cubic functions, both domain and range are all real numbers.

Domain & Range What if only the function is given and not the graph ? How do you determine the domain and range ? For all linear and cubic functions, both domain and range are all real numbers. Quadratic and absolute value are the same…

Domain & Range