Unit 4 Day 2 Functions ­ Domain and Range

1

October 15, 2018

Have you...

[1] Taken out your packet & assignment?

[2] Grabbed a chrome book?

[3] Completed Quiz #1 in G.C.?

[4] Completed the Warm up? Domain:

Range:

f(2) =

Unit 4: Functions

Lesson 2 ­ Domain and RangeI can determine the domain and range of a function. 

Unit 4 Day 2 Functions ­ Domain and Range

2

October 15, 2018

Consider this function(represented as a graph)

5

5Find: f(2) = f(­2) = 2*f(4) = f(2) + f(4) f(x + 1) = 4

Domain:Range:

Now we need to use interval notation...

Interval Notation - NOTES

( ) A parentheses on either side means that value is not part of the graph

[ ] A bracket means it is part of the graph

∞)(-∞

Infinity - goes forever positiveNegative Infinity - goes forever negative

Unit 4 Day 2 Functions ­ Domain and Range

3

October 15, 2018

Find the Domain and Rangef(2) = f(0) = f(­4) =f(2) + f(0) = f(x ­ 2) = 5

Domain:Range:

What does the open circle mean??

Find the Domain and Range

Domain:

Range:

Unit 4 Day 2 Functions ­ Domain and Range

4

October 15, 2018

Find the Domain and Range

Domain:

Range:

Find the Domain and Range

Domain:

Range:

Unit 4 Day 2 Functions ­ Domain and Range

5

October 15, 2018

Find the Domain and Range

Domain:

Range:

Graphing Calculator Practice:

y = x ­ 3

y = (x ­ 2)(x + 4)

Domain: 

Range: 

Domain: 

Range: 

(put your calculator back into function mode!)

Unit 4 Day 2 Functions ­ Domain and Range

6

October 15, 2018

Assignment

Domain/Range Worksheet #2(#12 and 13 are extension...give 'em a try!)

Wrap UpDid we meet our goal?

I can determine the domain and range of a function.

Pg. 181 ­ 187 # 1 ­ 3, 4acfjk, 8, 10abc and 17 

Unit 4 Day 2 Functions ­ Domain and Range

7

October 15, 2018

Pg. 181 ­ 187 # 1 ­ 3, 4acfjk, 8, 10abc and 17 

Pg. 181 ­ 187 # 1 ­ 3, 4acfjk, 8, 10abc and 17 

Unit 4 Day 2 Functions ­ Domain and Range

8

October 15, 2018

Pg. 181 ­ 187 # 1 ­ 3, 4acfjk, 8, 10abc and 17 

HW Answers/Questions

Unit 4 Day 2 Functions ­ Domain and Range

9

October 15, 2018

HW Answers/Questions

HW Answers/Questions

Unit 4 Day 2 Functions ­ Domain and Range

10

October 15, 2018

Have you...

[1] Taken out your packet and assignment

[2] Grabbed a chromebook.

[3] Complete the Warm up.

Domain:

Range:

f(2) =

ACT Practice TEST Tomorrow• Get a good night's sleep & eat breakfast

• Come with pencil(s) sharpened and calculator ready during passing time!

• Try to use 1 minute per problem

• When 5 minutes left, just choose one letter and bubble down so none are blank.

Unit 4 Day 2 Functions ­ Domain and Range

11

October 15, 2018

• You can write on the ACT Form.

• Your test will be converted to a scale score.

• Goal is a 22 for ARCC PreCalculus or 19 for ARCC College Algebra.

• I believe in you!

The tests will be set up and ready to go. Come early during passing time so you get as close to 60 minutes as possible. Once you enter the room, you may not talk. It is not fair to your peers. The room will have the tests set out alphabetically. Find yours and begin.

Unit 4 Day 2 Functions ­ Domain and Range

12

October 15, 2018

Agenda10 MIN Quiz

05 MIN HW Answers/Questions

15 MIN Lesson ­ Functions Day 2

15 MIN Assignment

05 MIN Wrap Up

Unit 3: FunctionsLesson 3 ­ Domain/Range and Function Notation. I can review the learning targets so far and decide what I need to practice. 

Unit 4 Day 2 Functions ­ Domain and Range

13

October 15, 2018

Find the domain and range of each graph.

Find the domain and range of each graph.

Unit 4 Day 2 Functions ­ Domain and Range

14

October 15, 2018

Find the domain and range of each function by graphing them on your calculator.

[1] y = x3 + 4

[2] y = x4 + 5x ­ 3

[3] y = 1/(x ­ 3) 

AssignmentQuiz #2

Domain/Range Worksheet

Wrap UpDid we meet our goal?

I can determine which learning targets I need to practice most.

Unit 4 Day 2 Functions ­ Domain and Range

15

October 15, 2018

Unit 4 Day 2 Functions ­ Domain and Range

16

October 15, 2018