warm up solve for y 1. 2. 3. 4. 5.. algebra 3 chapter 7: powers, roots, and radicals lesson 4:...
TRANSCRIPT
![Page 1: Warm Up Solve for y 1. 2. 3. 4. 5.. Algebra 3 Chapter 7: Powers, Roots, and Radicals Lesson 4: Inverse Functions](https://reader036.vdocument.in/reader036/viewer/2022062807/5697c0121a28abf838ccc501/html5/thumbnails/1.jpg)
Warm Up• Solve for y
• 1.• 2.• 3. • 4.• 5. yx
yx
yx
xy
xy
483
662
63
242
63
![Page 2: Warm Up Solve for y 1. 2. 3. 4. 5.. Algebra 3 Chapter 7: Powers, Roots, and Radicals Lesson 4: Inverse Functions](https://reader036.vdocument.in/reader036/viewer/2022062807/5697c0121a28abf838ccc501/html5/thumbnails/2.jpg)
Algebra 3Chapter 7: Powers, Roots, and RadicalsLesson 4: Inverse
Functions
![Page 3: Warm Up Solve for y 1. 2. 3. 4. 5.. Algebra 3 Chapter 7: Powers, Roots, and Radicals Lesson 4: Inverse Functions](https://reader036.vdocument.in/reader036/viewer/2022062807/5697c0121a28abf838ccc501/html5/thumbnails/3.jpg)
VOCAB• Inverse Relation – maps the output
values back to their original input values• Inverse Function - when the original
relation and the inverse relation are both functions• Function – an equation where the x
values will not repeat (it will pass the vertical line test)
![Page 4: Warm Up Solve for y 1. 2. 3. 4. 5.. Algebra 3 Chapter 7: Powers, Roots, and Radicals Lesson 4: Inverse Functions](https://reader036.vdocument.in/reader036/viewer/2022062807/5697c0121a28abf838ccc501/html5/thumbnails/4.jpg)
Today• Starting today we will learn how to find
inverse functions.• Today we will talk about linear functions
and their inverses.–Creating the inverse function–Is it a function?
• Tomorrow we go to nonlinear (having exponents)
![Page 5: Warm Up Solve for y 1. 2. 3. 4. 5.. Algebra 3 Chapter 7: Powers, Roots, and Radicals Lesson 4: Inverse Functions](https://reader036.vdocument.in/reader036/viewer/2022062807/5697c0121a28abf838ccc501/html5/thumbnails/5.jpg)
Directions (Inverses)• Switch x and y of the original
equation• Solve for y–Use inverse operations–SADMEP
•Make sure your answer is simplified
![Page 6: Warm Up Solve for y 1. 2. 3. 4. 5.. Algebra 3 Chapter 7: Powers, Roots, and Radicals Lesson 4: Inverse Functions](https://reader036.vdocument.in/reader036/viewer/2022062807/5697c0121a28abf838ccc501/html5/thumbnails/6.jpg)
I DO (Linear Inverse)• Find the inverse and determine if it is a function
•1. •2.•3.•4. 6
3
2
12
5
42
xy
xy
xy
xy
![Page 7: Warm Up Solve for y 1. 2. 3. 4. 5.. Algebra 3 Chapter 7: Powers, Roots, and Radicals Lesson 4: Inverse Functions](https://reader036.vdocument.in/reader036/viewer/2022062807/5697c0121a28abf838ccc501/html5/thumbnails/7.jpg)
WE DO (Linear Inverse)• Find the inverse and determine if it is a function
•1. •2.•3.•4. 511
62
1
33
52
xy
xy
xy
xy
![Page 8: Warm Up Solve for y 1. 2. 3. 4. 5.. Algebra 3 Chapter 7: Powers, Roots, and Radicals Lesson 4: Inverse Functions](https://reader036.vdocument.in/reader036/viewer/2022062807/5697c0121a28abf838ccc501/html5/thumbnails/8.jpg)
YOU DO (Linear Inverse)• Find the inverse and determine if it is a function
•1. •2.•3.•4. 138
4
13
712
115
4
xy
xy
xy
xy
![Page 9: Warm Up Solve for y 1. 2. 3. 4. 5.. Algebra 3 Chapter 7: Powers, Roots, and Radicals Lesson 4: Inverse Functions](https://reader036.vdocument.in/reader036/viewer/2022062807/5697c0121a28abf838ccc501/html5/thumbnails/9.jpg)
Review
• Today you learned how to find an inverse of a linear equation and determine if it’s a function.
![Page 10: Warm Up Solve for y 1. 2. 3. 4. 5.. Algebra 3 Chapter 7: Powers, Roots, and Radicals Lesson 4: Inverse Functions](https://reader036.vdocument.in/reader036/viewer/2022062807/5697c0121a28abf838ccc501/html5/thumbnails/10.jpg)
Homework
• Worksheet– 7.4B (1, 2, 17 – 22)
![Page 11: Warm Up Solve for y 1. 2. 3. 4. 5.. Algebra 3 Chapter 7: Powers, Roots, and Radicals Lesson 4: Inverse Functions](https://reader036.vdocument.in/reader036/viewer/2022062807/5697c0121a28abf838ccc501/html5/thumbnails/11.jpg)
Warm Up
• Find the inverse and determine if it is a function
• 1. • 2. • 3. • 4.
![Page 12: Warm Up Solve for y 1. 2. 3. 4. 5.. Algebra 3 Chapter 7: Powers, Roots, and Radicals Lesson 4: Inverse Functions](https://reader036.vdocument.in/reader036/viewer/2022062807/5697c0121a28abf838ccc501/html5/thumbnails/12.jpg)
Algebra 3Chapter 7: Powers, Roots, and RadicalsLesson 4: Inverse
Functions
![Page 13: Warm Up Solve for y 1. 2. 3. 4. 5.. Algebra 3 Chapter 7: Powers, Roots, and Radicals Lesson 4: Inverse Functions](https://reader036.vdocument.in/reader036/viewer/2022062807/5697c0121a28abf838ccc501/html5/thumbnails/13.jpg)
Today• Today we will talk about nonlinear
functions and their inverses.–Creating the inverse function–Is it a function?
![Page 14: Warm Up Solve for y 1. 2. 3. 4. 5.. Algebra 3 Chapter 7: Powers, Roots, and Radicals Lesson 4: Inverse Functions](https://reader036.vdocument.in/reader036/viewer/2022062807/5697c0121a28abf838ccc501/html5/thumbnails/14.jpg)
Directions (Inverses)• Switch x and y of the original
equation• Solve for y–Use inverse operations–SADMEP
•Make sure your answer is simplified
![Page 15: Warm Up Solve for y 1. 2. 3. 4. 5.. Algebra 3 Chapter 7: Powers, Roots, and Radicals Lesson 4: Inverse Functions](https://reader036.vdocument.in/reader036/viewer/2022062807/5697c0121a28abf838ccc501/html5/thumbnails/15.jpg)
FUNCTION???
• Graph it• Does it pass the vertical line test?
![Page 16: Warm Up Solve for y 1. 2. 3. 4. 5.. Algebra 3 Chapter 7: Powers, Roots, and Radicals Lesson 4: Inverse Functions](https://reader036.vdocument.in/reader036/viewer/2022062807/5697c0121a28abf838ccc501/html5/thumbnails/16.jpg)
Remember
• Inverses• and • and• and • …….
![Page 17: Warm Up Solve for y 1. 2. 3. 4. 5.. Algebra 3 Chapter 7: Powers, Roots, and Radicals Lesson 4: Inverse Functions](https://reader036.vdocument.in/reader036/viewer/2022062807/5697c0121a28abf838ccc501/html5/thumbnails/17.jpg)
I DO (Exponential Inverses)
• Find the inverse and determine if it is a function• 1. • 2. • 3. • 4.
![Page 18: Warm Up Solve for y 1. 2. 3. 4. 5.. Algebra 3 Chapter 7: Powers, Roots, and Radicals Lesson 4: Inverse Functions](https://reader036.vdocument.in/reader036/viewer/2022062807/5697c0121a28abf838ccc501/html5/thumbnails/18.jpg)
WE DO (Exponential Inverses)
• Find the inverse and determine if it is a function• 1. • 2. • 3. • 4.
![Page 19: Warm Up Solve for y 1. 2. 3. 4. 5.. Algebra 3 Chapter 7: Powers, Roots, and Radicals Lesson 4: Inverse Functions](https://reader036.vdocument.in/reader036/viewer/2022062807/5697c0121a28abf838ccc501/html5/thumbnails/19.jpg)
YOU DO (Exponential Inverses)
• Find the inverse and determine if it is a function• 1. • 2. • 3. • 4.
![Page 20: Warm Up Solve for y 1. 2. 3. 4. 5.. Algebra 3 Chapter 7: Powers, Roots, and Radicals Lesson 4: Inverse Functions](https://reader036.vdocument.in/reader036/viewer/2022062807/5697c0121a28abf838ccc501/html5/thumbnails/20.jpg)
Review
• Today you learned how to find an inverse of a nonlinear equation and determine if it’s a function.
![Page 21: Warm Up Solve for y 1. 2. 3. 4. 5.. Algebra 3 Chapter 7: Powers, Roots, and Radicals Lesson 4: Inverse Functions](https://reader036.vdocument.in/reader036/viewer/2022062807/5697c0121a28abf838ccc501/html5/thumbnails/21.jpg)
Homework
Find the inverse and determine if it is a function