today in pre-calculus quiz until 11:20 when you are done, turn it in and get graphing calculator...
TRANSCRIPT
![Page 1: Today in Pre-Calculus Quiz until 11:20 When you are done, turn it in and get graphing calculator (remember to leave something if you borrow one from me)](https://reader035.vdocuments.mx/reader035/viewer/2022072006/56649f555503460f94c78d08/html5/thumbnails/1.jpg)
Today in Pre-Calculus• Quiz until 11:20
• When you are done, turn it in and get graphing calculator (remember to leave something if you borrow one from me)
• Notes: (no handout)– Define and Identify a Continuous function– Name and Identify types of discontinuity
Homework
![Page 2: Today in Pre-Calculus Quiz until 11:20 When you are done, turn it in and get graphing calculator (remember to leave something if you borrow one from me)](https://reader035.vdocuments.mx/reader035/viewer/2022072006/56649f555503460f94c78d08/html5/thumbnails/2.jpg)
Continuous Functions
• Definition: A function where the graph does not come apart at any point on its domain. It is continuous everywhere on its domain.
![Page 3: Today in Pre-Calculus Quiz until 11:20 When you are done, turn it in and get graphing calculator (remember to leave something if you borrow one from me)](https://reader035.vdocuments.mx/reader035/viewer/2022072006/56649f555503460f94c78d08/html5/thumbnails/3.jpg)
Removable Discontinuity• This graph is continuous
everywhere except for the hole at x = 1.5
• This is called a removable discontinuity because it can be patched by redefining f(1.5) so as to plug the hole.
![Page 4: Today in Pre-Calculus Quiz until 11:20 When you are done, turn it in and get graphing calculator (remember to leave something if you borrow one from me)](https://reader035.vdocuments.mx/reader035/viewer/2022072006/56649f555503460f94c78d08/html5/thumbnails/4.jpg)
Removable Discontinuity• This graph also has a
removable discontinuity
• This is removable because we could define f(1.5) so as to plug the hole and make f continuous at f(1.5).
![Page 5: Today in Pre-Calculus Quiz until 11:20 When you are done, turn it in and get graphing calculator (remember to leave something if you borrow one from me)](https://reader035.vdocuments.mx/reader035/viewer/2022072006/56649f555503460f94c78d08/html5/thumbnails/5.jpg)
Jump Discontinuity• This discontinuity is not
removable because there is more than just a hole at x = -2.
• It is a Jump Discontinuity because there is more than a hole, there is a jump in the function values that makes it impossible to plug with a single point.
![Page 6: Today in Pre-Calculus Quiz until 11:20 When you are done, turn it in and get graphing calculator (remember to leave something if you borrow one from me)](https://reader035.vdocuments.mx/reader035/viewer/2022072006/56649f555503460f94c78d08/html5/thumbnails/6.jpg)
Infinite Discontinuity• This discontinuity is not
removable because there is more than just a hole at x = -1.
• It is a Infinite Discontinuity at x = -1 because the two sides are approaching infinity.
![Page 7: Today in Pre-Calculus Quiz until 11:20 When you are done, turn it in and get graphing calculator (remember to leave something if you borrow one from me)](https://reader035.vdocuments.mx/reader035/viewer/2022072006/56649f555503460f94c78d08/html5/thumbnails/7.jpg)
Practice
2(2 1)( )
1
xf x
x
Continuous Discontinuous-Infinite
Discontinuous-Removable
Discontinuous-Jump
DiscontinuousInfinite
![Page 8: Today in Pre-Calculus Quiz until 11:20 When you are done, turn it in and get graphing calculator (remember to leave something if you borrow one from me)](https://reader035.vdocuments.mx/reader035/viewer/2022072006/56649f555503460f94c78d08/html5/thumbnails/8.jpg)
Homework
• Wkst.