warm up solve for y 1. 2. 3. 4. 5.. algebra 3 chapter 7: powers, roots, and radicals lesson 4:...
TRANSCRIPT
Warm Up• Solve for y
• 1.• 2.• 3. • 4.• 5. yx
yx
yx
xy
xy
483
662
63
242
63
Algebra 3Chapter 7: Powers, Roots, and RadicalsLesson 4: Inverse
Functions
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)
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)
Directions (Inverses)• Switch x and y of the original
equation• Solve for y–Use inverse operations–SADMEP
•Make sure your answer is simplified
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
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
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
Review
• Today you learned how to find an inverse of a linear equation and determine if it’s a function.
Homework
• Worksheet– 7.4B (1, 2, 17 – 22)
Warm Up
• Find the inverse and determine if it is a function
• 1. • 2. • 3. • 4.
Algebra 3Chapter 7: Powers, Roots, and RadicalsLesson 4: Inverse
Functions
Today• Today we will talk about nonlinear
functions and their inverses.–Creating the inverse function–Is it a function?
Directions (Inverses)• Switch x and y of the original
equation• Solve for y–Use inverse operations–SADMEP
•Make sure your answer is simplified
FUNCTION???
• Graph it• Does it pass the vertical line test?
Remember
• Inverses• and • and• and • …….
I DO (Exponential Inverses)
• Find the inverse and determine if it is a function• 1. • 2. • 3. • 4.
WE DO (Exponential Inverses)
• Find the inverse and determine if it is a function• 1. • 2. • 3. • 4.
YOU DO (Exponential Inverses)
• Find the inverse and determine if it is a function• 1. • 2. • 3. • 4.
Review
• Today you learned how to find an inverse of a nonlinear equation and determine if it’s a function.
Homework
Find the inverse and determine if it is a function