mar 8 intro to functions.notebook - oglesby...
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![Page 1: Mar 8 Intro to Functions.notebook - OGLESBY MATHrgoglesby.weebly.com/.../mar_8_intro_to_functions.pdfMar 8 Intro to Functions.notebook March 09, 2018 x F(x) 5 7 13 NextNext 8 21 These](https://reader033.vdocuments.us/reader033/viewer/2022051823/5fed4299891fd728281fdd0f/html5/thumbnails/1.jpg)
Mar 8 Intro to Functions.notebook March 09, 2018
Function Vocabulary
![Page 2: Mar 8 Intro to Functions.notebook - OGLESBY MATHrgoglesby.weebly.com/.../mar_8_intro_to_functions.pdfMar 8 Intro to Functions.notebook March 09, 2018 x F(x) 5 7 13 NextNext 8 21 These](https://reader033.vdocuments.us/reader033/viewer/2022051823/5fed4299891fd728281fdd0f/html5/thumbnails/2.jpg)
Mar 8 Intro to Functions.notebook March 09, 2018
![Page 3: Mar 8 Intro to Functions.notebook - OGLESBY MATHrgoglesby.weebly.com/.../mar_8_intro_to_functions.pdfMar 8 Intro to Functions.notebook March 09, 2018 x F(x) 5 7 13 NextNext 8 21 These](https://reader033.vdocuments.us/reader033/viewer/2022051823/5fed4299891fd728281fdd0f/html5/thumbnails/3.jpg)
Mar 8 Intro to Functions.notebook March 09, 2018
![Page 4: Mar 8 Intro to Functions.notebook - OGLESBY MATHrgoglesby.weebly.com/.../mar_8_intro_to_functions.pdfMar 8 Intro to Functions.notebook March 09, 2018 x F(x) 5 7 13 NextNext 8 21 These](https://reader033.vdocuments.us/reader033/viewer/2022051823/5fed4299891fd728281fdd0f/html5/thumbnails/4.jpg)
Mar 8 Intro to Functions.notebook March 09, 2018
![Page 5: Mar 8 Intro to Functions.notebook - OGLESBY MATHrgoglesby.weebly.com/.../mar_8_intro_to_functions.pdfMar 8 Intro to Functions.notebook March 09, 2018 x F(x) 5 7 13 NextNext 8 21 These](https://reader033.vdocuments.us/reader033/viewer/2022051823/5fed4299891fd728281fdd0f/html5/thumbnails/5.jpg)
Mar 8 Intro to Functions.notebook March 09, 2018
![Page 6: Mar 8 Intro to Functions.notebook - OGLESBY MATHrgoglesby.weebly.com/.../mar_8_intro_to_functions.pdfMar 8 Intro to Functions.notebook March 09, 2018 x F(x) 5 7 13 NextNext 8 21 These](https://reader033.vdocuments.us/reader033/viewer/2022051823/5fed4299891fd728281fdd0f/html5/thumbnails/6.jpg)
Mar 8 Intro to Functions.notebook March 09, 2018
![Page 7: Mar 8 Intro to Functions.notebook - OGLESBY MATHrgoglesby.weebly.com/.../mar_8_intro_to_functions.pdfMar 8 Intro to Functions.notebook March 09, 2018 x F(x) 5 7 13 NextNext 8 21 These](https://reader033.vdocuments.us/reader033/viewer/2022051823/5fed4299891fd728281fdd0f/html5/thumbnails/7.jpg)
Mar 8 Intro to Functions.notebook March 09, 2018
![Page 8: Mar 8 Intro to Functions.notebook - OGLESBY MATHrgoglesby.weebly.com/.../mar_8_intro_to_functions.pdfMar 8 Intro to Functions.notebook March 09, 2018 x F(x) 5 7 13 NextNext 8 21 These](https://reader033.vdocuments.us/reader033/viewer/2022051823/5fed4299891fd728281fdd0f/html5/thumbnails/8.jpg)
Mar 8 Intro to Functions.notebook March 09, 2018
![Page 9: Mar 8 Intro to Functions.notebook - OGLESBY MATHrgoglesby.weebly.com/.../mar_8_intro_to_functions.pdfMar 8 Intro to Functions.notebook March 09, 2018 x F(x) 5 7 13 NextNext 8 21 These](https://reader033.vdocuments.us/reader033/viewer/2022051823/5fed4299891fd728281fdd0f/html5/thumbnails/9.jpg)
Mar 8 Intro to Functions.notebook March 09, 2018
![Page 10: Mar 8 Intro to Functions.notebook - OGLESBY MATHrgoglesby.weebly.com/.../mar_8_intro_to_functions.pdfMar 8 Intro to Functions.notebook March 09, 2018 x F(x) 5 7 13 NextNext 8 21 These](https://reader033.vdocuments.us/reader033/viewer/2022051823/5fed4299891fd728281fdd0f/html5/thumbnails/10.jpg)
Mar 8 Intro to Functions.notebook March 09, 2018
![Page 11: Mar 8 Intro to Functions.notebook - OGLESBY MATHrgoglesby.weebly.com/.../mar_8_intro_to_functions.pdfMar 8 Intro to Functions.notebook March 09, 2018 x F(x) 5 7 13 NextNext 8 21 These](https://reader033.vdocuments.us/reader033/viewer/2022051823/5fed4299891fd728281fdd0f/html5/thumbnails/11.jpg)
Mar 8 Intro to Functions.notebook March 09, 2018
![Page 12: Mar 8 Intro to Functions.notebook - OGLESBY MATHrgoglesby.weebly.com/.../mar_8_intro_to_functions.pdfMar 8 Intro to Functions.notebook March 09, 2018 x F(x) 5 7 13 NextNext 8 21 These](https://reader033.vdocuments.us/reader033/viewer/2022051823/5fed4299891fd728281fdd0f/html5/thumbnails/12.jpg)
Mar 8 Intro to Functions.notebook March 09, 2018
![Page 13: Mar 8 Intro to Functions.notebook - OGLESBY MATHrgoglesby.weebly.com/.../mar_8_intro_to_functions.pdfMar 8 Intro to Functions.notebook March 09, 2018 x F(x) 5 7 13 NextNext 8 21 These](https://reader033.vdocuments.us/reader033/viewer/2022051823/5fed4299891fd728281fdd0f/html5/thumbnails/13.jpg)
Mar 8 Intro to Functions.notebook March 09, 2018
![Page 14: Mar 8 Intro to Functions.notebook - OGLESBY MATHrgoglesby.weebly.com/.../mar_8_intro_to_functions.pdfMar 8 Intro to Functions.notebook March 09, 2018 x F(x) 5 7 13 NextNext 8 21 These](https://reader033.vdocuments.us/reader033/viewer/2022051823/5fed4299891fd728281fdd0f/html5/thumbnails/14.jpg)
Mar 8 Intro to Functions.notebook March 09, 2018
Concept Checks
Is this a function?
![Page 15: Mar 8 Intro to Functions.notebook - OGLESBY MATHrgoglesby.weebly.com/.../mar_8_intro_to_functions.pdfMar 8 Intro to Functions.notebook March 09, 2018 x F(x) 5 7 13 NextNext 8 21 These](https://reader033.vdocuments.us/reader033/viewer/2022051823/5fed4299891fd728281fdd0f/html5/thumbnails/15.jpg)
Mar 8 Intro to Functions.notebook March 09, 2018
Concept Checks
Is this a function?
![Page 16: Mar 8 Intro to Functions.notebook - OGLESBY MATHrgoglesby.weebly.com/.../mar_8_intro_to_functions.pdfMar 8 Intro to Functions.notebook March 09, 2018 x F(x) 5 7 13 NextNext 8 21 These](https://reader033.vdocuments.us/reader033/viewer/2022051823/5fed4299891fd728281fdd0f/html5/thumbnails/16.jpg)
Mar 8 Intro to Functions.notebook March 09, 2018
Concept Checks
Is this a function?
![Page 17: Mar 8 Intro to Functions.notebook - OGLESBY MATHrgoglesby.weebly.com/.../mar_8_intro_to_functions.pdfMar 8 Intro to Functions.notebook March 09, 2018 x F(x) 5 7 13 NextNext 8 21 These](https://reader033.vdocuments.us/reader033/viewer/2022051823/5fed4299891fd728281fdd0f/html5/thumbnails/17.jpg)
Mar 8 Intro to Functions.notebook March 09, 2018
Concept Checks
Is this a function?
![Page 18: Mar 8 Intro to Functions.notebook - OGLESBY MATHrgoglesby.weebly.com/.../mar_8_intro_to_functions.pdfMar 8 Intro to Functions.notebook March 09, 2018 x F(x) 5 7 13 NextNext 8 21 These](https://reader033.vdocuments.us/reader033/viewer/2022051823/5fed4299891fd728281fdd0f/html5/thumbnails/18.jpg)
Mar 8 Intro to Functions.notebook March 09, 2018
Concept Checks
Is this a function?
![Page 19: Mar 8 Intro to Functions.notebook - OGLESBY MATHrgoglesby.weebly.com/.../mar_8_intro_to_functions.pdfMar 8 Intro to Functions.notebook March 09, 2018 x F(x) 5 7 13 NextNext 8 21 These](https://reader033.vdocuments.us/reader033/viewer/2022051823/5fed4299891fd728281fdd0f/html5/thumbnails/19.jpg)
Mar 8 Intro to Functions.notebook March 09, 2018
Concept Checks
What is f(2)?
![Page 20: Mar 8 Intro to Functions.notebook - OGLESBY MATHrgoglesby.weebly.com/.../mar_8_intro_to_functions.pdfMar 8 Intro to Functions.notebook March 09, 2018 x F(x) 5 7 13 NextNext 8 21 These](https://reader033.vdocuments.us/reader033/viewer/2022051823/5fed4299891fd728281fdd0f/html5/thumbnails/20.jpg)
Mar 8 Intro to Functions.notebook March 09, 2018
Concept Checks
What is f(2)?
![Page 21: Mar 8 Intro to Functions.notebook - OGLESBY MATHrgoglesby.weebly.com/.../mar_8_intro_to_functions.pdfMar 8 Intro to Functions.notebook March 09, 2018 x F(x) 5 7 13 NextNext 8 21 These](https://reader033.vdocuments.us/reader033/viewer/2022051823/5fed4299891fd728281fdd0f/html5/thumbnails/21.jpg)
Mar 8 Intro to Functions.notebook March 09, 2018
Concept Checks
What is f(2)?
![Page 22: Mar 8 Intro to Functions.notebook - OGLESBY MATHrgoglesby.weebly.com/.../mar_8_intro_to_functions.pdfMar 8 Intro to Functions.notebook March 09, 2018 x F(x) 5 7 13 NextNext 8 21 These](https://reader033.vdocuments.us/reader033/viewer/2022051823/5fed4299891fd728281fdd0f/html5/thumbnails/22.jpg)
Mar 8 Intro to Functions.notebook March 09, 2018
Concept Checks
What is f(2)?
![Page 23: Mar 8 Intro to Functions.notebook - OGLESBY MATHrgoglesby.weebly.com/.../mar_8_intro_to_functions.pdfMar 8 Intro to Functions.notebook March 09, 2018 x F(x) 5 7 13 NextNext 8 21 These](https://reader033.vdocuments.us/reader033/viewer/2022051823/5fed4299891fd728281fdd0f/html5/thumbnails/23.jpg)
Mar 8 Intro to Functions.notebook March 09, 2018
Linear Functions Sep 14
![Page 24: Mar 8 Intro to Functions.notebook - OGLESBY MATHrgoglesby.weebly.com/.../mar_8_intro_to_functions.pdfMar 8 Intro to Functions.notebook March 09, 2018 x F(x) 5 7 13 NextNext 8 21 These](https://reader033.vdocuments.us/reader033/viewer/2022051823/5fed4299891fd728281fdd0f/html5/thumbnails/24.jpg)
Mar 8 Intro to Functions.notebook March 09, 2018
578
IN
OUTl
f(x)=x+3
NextNext
![Page 25: Mar 8 Intro to Functions.notebook - OGLESBY MATHrgoglesby.weebly.com/.../mar_8_intro_to_functions.pdfMar 8 Intro to Functions.notebook March 09, 2018 x F(x) 5 7 13 NextNext 8 21 These](https://reader033.vdocuments.us/reader033/viewer/2022051823/5fed4299891fd728281fdd0f/html5/thumbnails/25.jpg)
Mar 8 Intro to Functions.notebook March 09, 2018
x F(x)2
4
5
7
NextNext
5 8
These are three input-output pairs we found using the machine. What would you expect to get out if you put these other inputs in?
3
67
What do you notice?
![Page 26: Mar 8 Intro to Functions.notebook - OGLESBY MATHrgoglesby.weebly.com/.../mar_8_intro_to_functions.pdfMar 8 Intro to Functions.notebook March 09, 2018 x F(x) 5 7 13 NextNext 8 21 These](https://reader033.vdocuments.us/reader033/viewer/2022051823/5fed4299891fd728281fdd0f/html5/thumbnails/26.jpg)
Mar 8 Intro to Functions.notebook March 09, 2018
5
2
7
4
8
5
IN
OUT
NextNext
f(x)=x-3
![Page 27: Mar 8 Intro to Functions.notebook - OGLESBY MATHrgoglesby.weebly.com/.../mar_8_intro_to_functions.pdfMar 8 Intro to Functions.notebook March 09, 2018 x F(x) 5 7 13 NextNext 8 21 These](https://reader033.vdocuments.us/reader033/viewer/2022051823/5fed4299891fd728281fdd0f/html5/thumbnails/27.jpg)
Mar 8 Intro to Functions.notebook March 09, 2018
x F(x)4
62
NextNext
75
These are three input-output pairs we found using the machine. What would you expect to get out if you put these other inputs in?
5
89
What do you notice?
4
![Page 28: Mar 8 Intro to Functions.notebook - OGLESBY MATHrgoglesby.weebly.com/.../mar_8_intro_to_functions.pdfMar 8 Intro to Functions.notebook March 09, 2018 x F(x) 5 7 13 NextNext 8 21 These](https://reader033.vdocuments.us/reader033/viewer/2022051823/5fed4299891fd728281fdd0f/html5/thumbnails/28.jpg)
Mar 8 Intro to Functions.notebook March 09, 2018
13
7
1521
IN
OUT
NextNext
f(x)=2x+1
![Page 29: Mar 8 Intro to Functions.notebook - OGLESBY MATHrgoglesby.weebly.com/.../mar_8_intro_to_functions.pdfMar 8 Intro to Functions.notebook March 09, 2018 x F(x) 5 7 13 NextNext 8 21 These](https://reader033.vdocuments.us/reader033/viewer/2022051823/5fed4299891fd728281fdd0f/html5/thumbnails/29.jpg)
Mar 8 Intro to Functions.notebook March 09, 2018
x F(x)5
713
NextNext
8
21
These are three input-output pairs we found using the machine. What would you expect to get out if you put these other inputs in?
6
910
What do you notice?
15
![Page 30: Mar 8 Intro to Functions.notebook - OGLESBY MATHrgoglesby.weebly.com/.../mar_8_intro_to_functions.pdfMar 8 Intro to Functions.notebook March 09, 2018 x F(x) 5 7 13 NextNext 8 21 These](https://reader033.vdocuments.us/reader033/viewer/2022051823/5fed4299891fd728281fdd0f/html5/thumbnails/30.jpg)
Mar 8 Intro to Functions.notebook March 09, 2018
4
-3
5
-5
6
-7
IN
OUT
NextNext
f(x)=-2x+5
![Page 31: Mar 8 Intro to Functions.notebook - OGLESBY MATHrgoglesby.weebly.com/.../mar_8_intro_to_functions.pdfMar 8 Intro to Functions.notebook March 09, 2018 x F(x) 5 7 13 NextNext 8 21 These](https://reader033.vdocuments.us/reader033/viewer/2022051823/5fed4299891fd728281fdd0f/html5/thumbnails/31.jpg)
Mar 8 Intro to Functions.notebook March 09, 2018
x F(x)1
3
NextNext
4
-7
2
56
What do you notice?
-5-3
![Page 32: Mar 8 Intro to Functions.notebook - OGLESBY MATHrgoglesby.weebly.com/.../mar_8_intro_to_functions.pdfMar 8 Intro to Functions.notebook March 09, 2018 x F(x) 5 7 13 NextNext 8 21 These](https://reader033.vdocuments.us/reader033/viewer/2022051823/5fed4299891fd728281fdd0f/html5/thumbnails/32.jpg)
Mar 8 Intro to Functions.notebook March 09, 2018
0
9
1
13
4
25
IN
OUT
NextNext
f(x)=4x+9
![Page 33: Mar 8 Intro to Functions.notebook - OGLESBY MATHrgoglesby.weebly.com/.../mar_8_intro_to_functions.pdfMar 8 Intro to Functions.notebook March 09, 2018 x F(x) 5 7 13 NextNext 8 21 These](https://reader033.vdocuments.us/reader033/viewer/2022051823/5fed4299891fd728281fdd0f/html5/thumbnails/33.jpg)
Mar 8 Intro to Functions.notebook March 09, 2018
x F(x)-1
19
NextNext
2
25
0
34
What do you notice?
13
f(x) =
![Page 34: Mar 8 Intro to Functions.notebook - OGLESBY MATHrgoglesby.weebly.com/.../mar_8_intro_to_functions.pdfMar 8 Intro to Functions.notebook March 09, 2018 x F(x) 5 7 13 NextNext 8 21 These](https://reader033.vdocuments.us/reader033/viewer/2022051823/5fed4299891fd728281fdd0f/html5/thumbnails/34.jpg)
Mar 8 Intro to Functions.notebook March 09, 2018
-8
-10
0
-8
8
-6
IN
OUT
NextNext
f(x)=1/4x-10
![Page 35: Mar 8 Intro to Functions.notebook - OGLESBY MATHrgoglesby.weebly.com/.../mar_8_intro_to_functions.pdfMar 8 Intro to Functions.notebook March 09, 2018 x F(x) 5 7 13 NextNext 8 21 These](https://reader033.vdocuments.us/reader033/viewer/2022051823/5fed4299891fd728281fdd0f/html5/thumbnails/35.jpg)
Mar 8 Intro to Functions.notebook March 09, 2018
x F(x)-12
-4-10
NextNext
0
-6
-8
48
What do you notice?
-8
f(x) =
![Page 36: Mar 8 Intro to Functions.notebook - OGLESBY MATHrgoglesby.weebly.com/.../mar_8_intro_to_functions.pdfMar 8 Intro to Functions.notebook March 09, 2018 x F(x) 5 7 13 NextNext 8 21 These](https://reader033.vdocuments.us/reader033/viewer/2022051823/5fed4299891fd728281fdd0f/html5/thumbnails/36.jpg)
Mar 8 Intro to Functions.notebook March 09, 2018
2
11
4
12
10
15
IN
OUT
NextNext
f(x)=1/2x+10
![Page 37: Mar 8 Intro to Functions.notebook - OGLESBY MATHrgoglesby.weebly.com/.../mar_8_intro_to_functions.pdfMar 8 Intro to Functions.notebook March 09, 2018 x F(x) 5 7 13 NextNext 8 21 These](https://reader033.vdocuments.us/reader033/viewer/2022051823/5fed4299891fd728281fdd0f/html5/thumbnails/37.jpg)
Mar 8 Intro to Functions.notebook March 09, 2018
x F(x)0
411
NextNext
6
15
2
810
What do you notice?
12
f(x) =
![Page 38: Mar 8 Intro to Functions.notebook - OGLESBY MATHrgoglesby.weebly.com/.../mar_8_intro_to_functions.pdfMar 8 Intro to Functions.notebook March 09, 2018 x F(x) 5 7 13 NextNext 8 21 These](https://reader033.vdocuments.us/reader033/viewer/2022051823/5fed4299891fd728281fdd0f/html5/thumbnails/38.jpg)
Mar 8 Intro to Functions.notebook March 09, 2018
For linear functions, the form f(x)=mx+b can be derived in parts.M is found to be the __________________________________________________________B is found to be _____________________________________________________________.
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Mar 8 Intro to Functions.notebook March 09, 2018