Domain & Simplifying by Factoring
-
Upload
warren-huber -
Category
Documents
-
view
21 -
download
0
description
Transcript of Domain & Simplifying by Factoring
![Page 1: Domain & Simplifying by Factoring](https://reader035.fdocuments.in/reader035/viewer/2022062321/5681358b550346895d9cf366/html5/thumbnails/1.jpg)
Domain & Simplifying by
Factoring Objectives: Be able to find the domain of rational and radical expressions. Be able to use GCF to factor expressions.
TS:Making Decisions After Reflection and Review
Warm-Up: Factor the following
a)10x2 – 5x
b)23x3y – 2x2y4
![Page 2: Domain & Simplifying by Factoring](https://reader035.fdocuments.in/reader035/viewer/2022062321/5681358b550346895d9cf366/html5/thumbnails/2.jpg)
So in order to factor out a GCF all you need to do is…1) Factor out the greatest numerical value2) Identify all common variables or
expressions3) Factor out the smaller variable amount
by subtracting the smaller power from the larger
![Page 3: Domain & Simplifying by Factoring](https://reader035.fdocuments.in/reader035/viewer/2022062321/5681358b550346895d9cf366/html5/thumbnails/3.jpg)
Factor the following expression.1) 31
2 210 2x x
![Page 4: Domain & Simplifying by Factoring](https://reader035.fdocuments.in/reader035/viewer/2022062321/5681358b550346895d9cf366/html5/thumbnails/4.jpg)
Factor the following expression.2)
3 51 12 2 2 24 10x y x y
![Page 5: Domain & Simplifying by Factoring](https://reader035.fdocuments.in/reader035/viewer/2022062321/5681358b550346895d9cf366/html5/thumbnails/5.jpg)
Factor the following expression.3) 2 3( 3) 5( 3)x x
![Page 6: Domain & Simplifying by Factoring](https://reader035.fdocuments.in/reader035/viewer/2022062321/5681358b550346895d9cf366/html5/thumbnails/6.jpg)
Factor the following expression.4)
1 12 23(2 ) 2(2 )x x
![Page 7: Domain & Simplifying by Factoring](https://reader035.fdocuments.in/reader035/viewer/2022062321/5681358b550346895d9cf366/html5/thumbnails/7.jpg)
Factor the following expression.5)
312 29( 1) 3( 1)x x
![Page 8: Domain & Simplifying by Factoring](https://reader035.fdocuments.in/reader035/viewer/2022062321/5681358b550346895d9cf366/html5/thumbnails/8.jpg)
Factor the following expression.6)
31 1 12 2 2 24( 1) ( 2) 2( 1) ( 2)x x x x
![Page 9: Domain & Simplifying by Factoring](https://reader035.fdocuments.in/reader035/viewer/2022062321/5681358b550346895d9cf366/html5/thumbnails/9.jpg)
Finding the Domain of a FunctionThe domain of a function is the set of x-values when
plugged into a function give a real number.
Example:For the domain is [2, ∞)
For the domain is (-∞, 0) U (0, ∞)
2y x
1y
x
![Page 10: Domain & Simplifying by Factoring](https://reader035.fdocuments.in/reader035/viewer/2022062321/5681358b550346895d9cf366/html5/thumbnails/10.jpg)
Find the domain of the following function.7) 5 1y x
![Page 11: Domain & Simplifying by Factoring](https://reader035.fdocuments.in/reader035/viewer/2022062321/5681358b550346895d9cf366/html5/thumbnails/11.jpg)
Find the domain of the following function.8) 1
1
xy
x
![Page 12: Domain & Simplifying by Factoring](https://reader035.fdocuments.in/reader035/viewer/2022062321/5681358b550346895d9cf366/html5/thumbnails/12.jpg)
Find the domain of the following function.9) 1
6 42 3
y xx