Pre-Cal 40S March 4, 2009
-
Upload
darren-kuropatwa -
Category
Education
-
view
725 -
download
2
description
Transcript of Pre-Cal 40S March 4, 2009
![Page 1: Pre-Cal 40S March 4, 2009](https://reader033.fdocuments.in/reader033/viewer/2022052820/547c9b39b379597b2b8b502f/html5/thumbnails/1.jpg)
Baby Playor
All About Inverse
Functions
duck wrangling by toyfoto
![Page 2: Pre-Cal 40S March 4, 2009](https://reader033.fdocuments.in/reader033/viewer/2022052820/547c9b39b379597b2b8b502f/html5/thumbnails/2.jpg)
Are these functions even or odd? Justify your answers algebraically.
g(x) = x + 3x3ƒ(x) = x + 2x + 324
![Page 3: Pre-Cal 40S March 4, 2009](https://reader033.fdocuments.in/reader033/viewer/2022052820/547c9b39b379597b2b8b502f/html5/thumbnails/3.jpg)
ƒ is an even function.COMPLETE THE GRAPH.
![Page 4: Pre-Cal 40S March 4, 2009](https://reader033.fdocuments.in/reader033/viewer/2022052820/547c9b39b379597b2b8b502f/html5/thumbnails/4.jpg)
ƒ is an odd function.COMPLETE THE GRAPH.
![Page 5: Pre-Cal 40S March 4, 2009](https://reader033.fdocuments.in/reader033/viewer/2022052820/547c9b39b379597b2b8b502f/html5/thumbnails/5.jpg)
I thought I saw a puddy cat.... by flickr user law_keven
Reflections
![Page 6: Pre-Cal 40S March 4, 2009](https://reader033.fdocuments.in/reader033/viewer/2022052820/547c9b39b379597b2b8b502f/html5/thumbnails/6.jpg)
Vertical ReflectionsGiven any function ƒ(x):• ƒ(x) produces a reflection in the x-axis.y-coordinates are multiplied by (-1)
WARNING:
undoes whatever ƒ did.
Inverses: the inverse of any function ƒ(x) is (read as: "EFF INVERSE")
Horizontal ReflectionsGiven any function ƒ(x):• ƒ(-x) produces a reflection in the y-axis.x-coordinates are multiplied by (-1)
Reflections
Zuiderkerk by flickr user MorBCN
![Page 7: Pre-Cal 40S March 4, 2009](https://reader033.fdocuments.in/reader033/viewer/2022052820/547c9b39b379597b2b8b502f/html5/thumbnails/7.jpg)
Vertical ReflectionsGiven any function ƒ(x):• ƒ(x) produces a reflection in the x-axis.y-coordinates are multiplied by (-1)
WARNING:
undoes whatever ƒ did.
Inverses: the inverse of any function ƒ(x) is (read as: "EFF INVERSE")
Horizontal ReflectionsGiven any function ƒ(x):• ƒ(-x) produces a reflection in the y-axis.x-coordinates are multiplied by (-1)
Reflections
Zuiderkerk by flickr user MorBCN
![Page 8: Pre-Cal 40S March 4, 2009](https://reader033.fdocuments.in/reader033/viewer/2022052820/547c9b39b379597b2b8b502f/html5/thumbnails/8.jpg)
Baby Playor
All About Inverse
Functions
duck wrangling by toyfoto
![Page 9: Pre-Cal 40S March 4, 2009](https://reader033.fdocuments.in/reader033/viewer/2022052820/547c9b39b379597b2b8b502f/html5/thumbnails/9.jpg)
Inverses ...The concept ...
Numerically speaking ...
![Page 10: Pre-Cal 40S March 4, 2009](https://reader033.fdocuments.in/reader033/viewer/2022052820/547c9b39b379597b2b8b502f/html5/thumbnails/10.jpg)
Inverses ...Algebraically speaking ...
Conceptually analyzing the function ...
![Page 11: Pre-Cal 40S March 4, 2009](https://reader033.fdocuments.in/reader033/viewer/2022052820/547c9b39b379597b2b8b502f/html5/thumbnails/11.jpg)
Inverses ...
Graphically speaking ...