3U ­ 1 ­ day 8 ­ Domain and Range ans .notebook

1

February 12, 2015

Jan 27­3:52 PM

Domain and Range

Learning Goals­ better understanding of set notation­ finding domain and range in a variety of ways

Jan 27­6:27 PM

3U ­ 1 ­ day 8 ­ Domain and Range ans .notebook

2

February 12, 2015

Feb 8­7:58 PM

Set Notation for Domain and Range

D = x , x

What does this represent?

Jan 27­6:25 PM

Integers = I

Real = R

3U ­ 1 ­ day 8 ­ Domain and Range ans .notebook

3

February 12, 2015

Sep 11­5:31 PM

How can we use Domain and Range to differentiate these two Relations?

Two ways to write Domain when it is integers

1 ­ Just list the values ,

0, 1, 2, 3, 4, 5

2 ­ Write an inequality statement

Feb 4­5:19 PM

3U ­ 1 ­ day 8 ­ Domain and Range ans .notebook

4

February 12, 2015

Feb 4­4:40 PM

­5

­1

0

3

9

15

17

23

x f(x)

Determine the domain and range in set notation.

Feb 4­4:40 PM

­6 ­5 ­4 ­3 ­2 ­1 0 1 2 3 4 5 6

­6

­5

­4

­3

­2

­1

1

2

3

4

5

6

x

y

Determine the domain and range in set notation.

­6 ­5 ­4 ­3 ­2 ­1 0 1 2 3 4 5 6

­6

­5

­4

­3

­2

­1

1

2

3

4

5

6

x

y

3U ­ 1 ­ day 8 ­ Domain and Range ans .notebook

5

February 12, 2015

Feb 15­10:56 AM

­6 ­5 ­4 ­3 ­2 ­1 0 1 2 3 4 5 6

­6

­5

­4

­3

­2

­1

1

2

3

4

5

6

x

y

Determine the domain and range in set notation.

­6 ­5 ­4 ­3 ­2 ­1 0 1 2 3 4 5 6

­6

­5

­4

­3

­2

­1

1

2

3

4

5

6

x

y

Feb 4­5:19 PM

Hint: 1. Are there any restrictions on the values of x?2. What does the graph look like?

3U ­ 1 ­ day 8 ­ Domain and Range ans .notebook

6

February 12, 2015

Feb 12­12:10 PM

Feb 4­4:40 PM

3U ­ 1 ­ day 8 ­ Domain and Range ans .notebook

7

February 12, 2015

Feb 4­4:40 PM

Feb 7­12:28 PM

d) When will it be empty?

e) What is the domain and range?

3U ­ 1 ­ day 8 ­ Domain and Range ans .notebook

8

February 12, 2015

Feb 10­11:59 AM

Feb 4­4:40 PM

Real World Context Using a Linear Function

You are planning a graduation party. The hall costs $500, and each meal costs $50. The hall can fit 100 people.

a) Use function notation to write an equation for this situation.b) Determine the domain and range.

3U ­ 1 ­ day 8 ­ Domain and Range ans .notebook

9

February 12, 2015

Feb 4­5:19 PM

Real World Context Using a Quadratic Function

Indiana Jones is standing on a cliff and he shoots an arrow up into the air; the arrow falls to the ground. The flight of the arrow is defined by f(x) = ­5(x­1)2 +20.

Determine the domain and range.

Sep 13­9:36 PM

3U ­ 1 ­ day 8 ­ Domain and Range ans .notebook

10

February 12, 2015

Sep 15­11:55 PM

error

Jan 27­3:53 PM

Seatwork

pg 12 # 13, 15

pg 35 # 2, 10, 14, 15