1.3 Continuity, End Behavior, and Limits (day 1).notebook · 2017-09-27 · 1.3 Continuity, End...
Transcript of 1.3 Continuity, End Behavior, and Limits (day 1).notebook · 2017-09-27 · 1.3 Continuity, End...
![Page 1: 1.3 Continuity, End Behavior, and Limits (day 1).notebook · 2017-09-27 · 1.3 Continuity, End Behavior, and Limits (day 1).notebook 1 1.3 Continuity, End Behavior, and Limits (day](https://reader033.fdocuments.in/reader033/viewer/2022042017/5e74fc6282d2046737773b36/html5/thumbnails/1.jpg)
1.3 Continuity, End Behavior, and Limits (day 1).notebook
1
1.3 Continuity, End Behavior, and Limits (day 1)
OBJECTIVES:
• Use limits to determine the continuity of a function an apply the Intermediate Value Theorem to continuous functions.
• Use limits to describe end behavior of functions
Continuous Functions
**Functions that have no breaks, no holes, no gaps.
Limits
**a limit is the concept of approaching a value without ever necessarily reaching it
![Page 2: 1.3 Continuity, End Behavior, and Limits (day 1).notebook · 2017-09-27 · 1.3 Continuity, End Behavior, and Limits (day 1).notebook 1 1.3 Continuity, End Behavior, and Limits (day](https://reader033.fdocuments.in/reader033/viewer/2022042017/5e74fc6282d2046737773b36/html5/thumbnails/2.jpg)
1.3 Continuity, End Behavior, and Limits (day 1).notebook
2
![Page 3: 1.3 Continuity, End Behavior, and Limits (day 1).notebook · 2017-09-27 · 1.3 Continuity, End Behavior, and Limits (day 1).notebook 1 1.3 Continuity, End Behavior, and Limits (day](https://reader033.fdocuments.in/reader033/viewer/2022042017/5e74fc6282d2046737773b36/html5/thumbnails/3.jpg)
1.3 Continuity, End Behavior, and Limits (day 1).notebook
3
![Page 4: 1.3 Continuity, End Behavior, and Limits (day 1).notebook · 2017-09-27 · 1.3 Continuity, End Behavior, and Limits (day 1).notebook 1 1.3 Continuity, End Behavior, and Limits (day](https://reader033.fdocuments.in/reader033/viewer/2022042017/5e74fc6282d2046737773b36/html5/thumbnails/4.jpg)
1.3 Continuity, End Behavior, and Limits (day 1).notebook
4
Discontinuous Functions:
• infinite discontinuity• jump discontinuity• removable discontinuity (point)
3 types of discontinuity
![Page 5: 1.3 Continuity, End Behavior, and Limits (day 1).notebook · 2017-09-27 · 1.3 Continuity, End Behavior, and Limits (day 1).notebook 1 1.3 Continuity, End Behavior, and Limits (day](https://reader033.fdocuments.in/reader033/viewer/2022042017/5e74fc6282d2046737773b36/html5/thumbnails/5.jpg)
1.3 Continuity, End Behavior, and Limits (day 1).notebook
5
Identifying a point of continuity:ex. 1
We need the graph from our graphing calculators!
![Page 6: 1.3 Continuity, End Behavior, and Limits (day 1).notebook · 2017-09-27 · 1.3 Continuity, End Behavior, and Limits (day 1).notebook 1 1.3 Continuity, End Behavior, and Limits (day](https://reader033.fdocuments.in/reader033/viewer/2022042017/5e74fc6282d2046737773b36/html5/thumbnails/6.jpg)
1.3 Continuity, End Behavior, and Limits (day 1).notebook
6
Identifying a point of discontinuity:ex. 1
![Page 7: 1.3 Continuity, End Behavior, and Limits (day 1).notebook · 2017-09-27 · 1.3 Continuity, End Behavior, and Limits (day 1).notebook 1 1.3 Continuity, End Behavior, and Limits (day](https://reader033.fdocuments.in/reader033/viewer/2022042017/5e74fc6282d2046737773b36/html5/thumbnails/7.jpg)
1.3 Continuity, End Behavior, and Limits (day 1).notebook
7
ex. 2
![Page 8: 1.3 Continuity, End Behavior, and Limits (day 1).notebook · 2017-09-27 · 1.3 Continuity, End Behavior, and Limits (day 1).notebook 1 1.3 Continuity, End Behavior, and Limits (day](https://reader033.fdocuments.in/reader033/viewer/2022042017/5e74fc6282d2046737773b36/html5/thumbnails/8.jpg)
1.3 Continuity, End Behavior, and Limits (day 1).notebook
8
Assignment:
pg. 30 (18) all