Presentation is loading. Please wait.

Presentation is loading. Please wait.

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

Published byEricka Knill Modified over 10 years ago

Similar presentations

Presentation on theme: "Domain & Range. When the coordinates are listed; determining the Domain ( D ) and Range ( R ) of a function is quite easy…"— Presentation transcript:

1 Domain & Range

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

3 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 ?

4 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 ?

5 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 ?

6 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 ?

7 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 ?

8 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 ?

9 Domain & Range

10

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

12 Domain & Range

13

14

15

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

17 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…

18 Domain & Range

19

20

21

22

23

24

25

26

27

28

29

30 Absolute Value : Acts like a quadratic…

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

32 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…

33 Domain & Range

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

35 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.

36 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…

37 Domain & Range

38

39

40

41

42

43

44

45

46

47

48

49

50

51

52

53

54

55

56

57

58

59

60

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

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.

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

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.

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!

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 =

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.

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 30-11.

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.

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

Learning Objectives for Section 2.1 Functions
2-6 Graphing Quadratic Functions A change of the high power = 1 to high power = 2.

2-6 Graphing Quadratic Functions A change of the high power = 1 to high power = 2.
Section 3.4 Basic Functions

Section 3.4 Basic Functions
Graphing Piecewise 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.

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.
9/18/20153-4: Parent Functions1 Parent Functions Unit 1.

9/18/ : Parent Functions1 Parent Functions Unit 1.
Unit 1 Test Review Write the numbers 1 to 14 on a blank piece of paper.

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.

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.

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.

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: (-∞,∞)

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.

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

Similar presentations

Ads by Google