10.Wounds Defn ,Classification,Healing,Management of Wound c
Absolute Values Review Defn: A non-directional distance from zero. Absolute values are always...
-
Upload
donna-miles -
Category
Documents
-
view
228 -
download
0
Transcript of Absolute Values Review Defn: A non-directional distance from zero. Absolute values are always...
![Page 1: Absolute Values Review Defn: A non-directional distance from zero. Absolute values are always non-negative. Does not exist.](https://reader036.fdocuments.net/reader036/viewer/2022081520/5697bfc41a28abf838ca5ed9/html5/thumbnails/1.jpg)
Absolute ValuesReview
Defn: A non-directional distance from zero.
Absolute values are always non-negative.
Does not exist.
4x x 4 4, and
21x x 21 21, and
7x
![Page 2: Absolute Values Review Defn: A non-directional distance from zero. Absolute values are always non-negative. Does not exist.](https://reader036.fdocuments.net/reader036/viewer/2022081520/5697bfc41a28abf838ca5ed9/html5/thumbnails/2.jpg)
Absolute ValuesAbsolute Values of Expression
What value(s) of x will make the expression equal to 8 or -8?
843 x
123 x 43 x
843 x843 x
3
4x4x
4,3
4: xsolution
![Page 3: Absolute Values Review Defn: A non-directional distance from zero. Absolute values are always non-negative. Does not exist.](https://reader036.fdocuments.net/reader036/viewer/2022081520/5697bfc41a28abf838ca5ed9/html5/thumbnails/3.jpg)
Absolute ValuesAbsolute Values of Expressions
What value(s) of x will make the expression equal to 7 or -7?
735 x
45 x 105 x
735 x735 x
2x5
4x
2,5
4: xsolution
![Page 4: Absolute Values Review Defn: A non-directional distance from zero. Absolute values are always non-negative. Does not exist.](https://reader036.fdocuments.net/reader036/viewer/2022081520/5697bfc41a28abf838ca5ed9/html5/thumbnails/4.jpg)
Absolute ValuesAbsolute Values of Expressions
What value(s) of x will make the expression equal to 0?
032 x
32 x
032 x
2
3x
![Page 5: Absolute Values Review Defn: A non-directional distance from zero. Absolute values are always non-negative. Does not exist.](https://reader036.fdocuments.net/reader036/viewer/2022081520/5697bfc41a28abf838ca5ed9/html5/thumbnails/5.jpg)
Absolute ValuesAbsolute Values of Expressions
What value(s) of x will make the expression equal to -1?
166 x
56 x
166 x
6
5x
166
56
165
11
11
No solution
166 x
166 x
6
7x
76 x
166
76
167
11
11
No solution
![Page 6: Absolute Values Review Defn: A non-directional distance from zero. Absolute values are always non-negative. Does not exist.](https://reader036.fdocuments.net/reader036/viewer/2022081520/5697bfc41a28abf838ca5ed9/html5/thumbnails/6.jpg)
Absolute ValuesAbsolute Values of Inequalities
What value(s) of x will make the inequality greater than or equal to 8?
843 x
123 x
843 x
4x
843 x
843 x
43 x
3
4xInterval Notation
,4
3
4,
![Page 7: Absolute Values Review Defn: A non-directional distance from zero. Absolute values are always non-negative. Does not exist.](https://reader036.fdocuments.net/reader036/viewer/2022081520/5697bfc41a28abf838ca5ed9/html5/thumbnails/7.jpg)
Absolute ValuesAbsolute Values of Inequalities
What value(s) of x will make the inequality greater than or equal to 8?
843 x
123 x
843 x
4x
843 x
843 x
43 x
3
4xInterval Notation
4,
3
4
![Page 8: Absolute Values Review Defn: A non-directional distance from zero. Absolute values are always non-negative. Does not exist.](https://reader036.fdocuments.net/reader036/viewer/2022081520/5697bfc41a28abf838ca5ed9/html5/thumbnails/8.jpg)
Absolute ValuesAbsolute Values of Other Inequalities
2432 x
33 x
632 x
33 x
6x
Interval Notation
,60,
33 x
33 x
0x
![Page 9: Absolute Values Review Defn: A non-directional distance from zero. Absolute values are always non-negative. Does not exist.](https://reader036.fdocuments.net/reader036/viewer/2022081520/5697bfc41a28abf838ca5ed9/html5/thumbnails/9.jpg)
Absolute ValuesAbsolute Values of Other Inequalities
532 xx
82 xx
532 xx
8x23 x
3
2x
532 xx
532 xx
22 xx
![Page 10: Absolute Values Review Defn: A non-directional distance from zero. Absolute values are always non-negative. Does not exist.](https://reader036.fdocuments.net/reader036/viewer/2022081520/5697bfc41a28abf838ca5ed9/html5/thumbnails/10.jpg)
Graphs, Relations, and FunctionsDefn: A relation is a set of ordered pairs.
2,4,2,4,1,1,1,1,0,0 A
:Arange
4,1,0
2,1,0,1,2
Domain: The values of the 1st component of the ordered pair.
:Adomain
Range: The values of the 2nd component of the ordered pair.
![Page 11: Absolute Values Review Defn: A non-directional distance from zero. Absolute values are always non-negative. Does not exist.](https://reader036.fdocuments.net/reader036/viewer/2022081520/5697bfc41a28abf838ca5ed9/html5/thumbnails/11.jpg)
The Rectangular Coordinate System Ordered Pair
(x, y)
(independent variable, dependent variable)
(1st component, 2nd component)
(input, output)
(abscissa, ordinate)
![Page 12: Absolute Values Review Defn: A non-directional distance from zero. Absolute values are always non-negative. Does not exist.](https://reader036.fdocuments.net/reader036/viewer/2022081520/5697bfc41a28abf838ca5ed9/html5/thumbnails/12.jpg)
x
y
1st Quadrant2nd Quadrant
3rd Quadrant 4th Quadrant
The Rectangular Coordinate System
,x y ,x y
,x y ,x y
![Page 13: Absolute Values Review Defn: A non-directional distance from zero. Absolute values are always non-negative. Does not exist.](https://reader036.fdocuments.net/reader036/viewer/2022081520/5697bfc41a28abf838ca5ed9/html5/thumbnails/13.jpg)
x
y
The Rectangular Coordinate System 2,4,2,4,1,1,1,1,0,0 A
![Page 14: Absolute Values Review Defn: A non-directional distance from zero. Absolute values are always non-negative. Does not exist.](https://reader036.fdocuments.net/reader036/viewer/2022081520/5697bfc41a28abf838ca5ed9/html5/thumbnails/14.jpg)
Graphs, Relations, and FunctionsDefn: A function is a relation where every x value has one and only one value of y assigned to it.
:range 6,5,4,3
3,2,1,4:domain
x y
1 3
2 5
-4 6
1 4
3 3
x y
4 2
-3 8
6 1
-1 9
5 6
x y
2 3
5 7
3 8
-2 -5
8 7
:range 9,8,6,2,1
6,5,4,1,3 :domain
:range 8,7,3,5
8,5,3,2,2:domain
![Page 15: Absolute Values Review Defn: A non-directional distance from zero. Absolute values are always non-negative. Does not exist.](https://reader036.fdocuments.net/reader036/viewer/2022081520/5697bfc41a28abf838ca5ed9/html5/thumbnails/15.jpg)
Graphs, Relations, and FunctionsFunctions and Equations.
32 xy
x y
0 -3
5 7
-2 -7
4 5
3 3
x y
2 4
-2 4
-4 16
3 9
-3 9
x y
1 1
1 -1
4 2
4 -2
0 0
2xy 2yx
function function not a function
![Page 16: Absolute Values Review Defn: A non-directional distance from zero. Absolute values are always non-negative. Does not exist.](https://reader036.fdocuments.net/reader036/viewer/2022081520/5697bfc41a28abf838ca5ed9/html5/thumbnails/16.jpg)
x
y
The Rectangular Coordinate System 32 xy
x y
0 -3
5 7
-2 -7
4 5
3 3
![Page 17: Absolute Values Review Defn: A non-directional distance from zero. Absolute values are always non-negative. Does not exist.](https://reader036.fdocuments.net/reader036/viewer/2022081520/5697bfc41a28abf838ca5ed9/html5/thumbnails/17.jpg)
x
y
The Rectangular Coordinate System 2xy
x y
2 4
-2 4
-4 16
3 9
-3 9
![Page 18: Absolute Values Review Defn: A non-directional distance from zero. Absolute values are always non-negative. Does not exist.](https://reader036.fdocuments.net/reader036/viewer/2022081520/5697bfc41a28abf838ca5ed9/html5/thumbnails/18.jpg)
x
y
The Rectangular Coordinate System 2yx
x y
1 1
1 -1
4 2
4 -2
0 0
![Page 19: Absolute Values Review Defn: A non-directional distance from zero. Absolute values are always non-negative. Does not exist.](https://reader036.fdocuments.net/reader036/viewer/2022081520/5697bfc41a28abf838ca5ed9/html5/thumbnails/19.jpg)
x
y
The Rectangular Coordinate System
![Page 20: Absolute Values Review Defn: A non-directional distance from zero. Absolute values are always non-negative. Does not exist.](https://reader036.fdocuments.net/reader036/viewer/2022081520/5697bfc41a28abf838ca5ed9/html5/thumbnails/20.jpg)
Graphs, Relations, and FunctionsFunction Notation
52 xxf
13 xxf 13 xxy
xfxyy
Shorthand for stating that an equation is a function.
13 xy
Function notation also defines the value of x that is to be use to calculate the corresponding value of y.
Defines the independent variable (usually x) and the dependent variable (usually y).
5323 f 13 f 1,3
![Page 21: Absolute Values Review Defn: A non-directional distance from zero. Absolute values are always non-negative. Does not exist.](https://reader036.fdocuments.net/reader036/viewer/2022081520/5697bfc41a28abf838ca5ed9/html5/thumbnails/21.jpg)
Graphs, Relations, and FunctionsFunction Notation – Restricted Domains
24 xxfy
42 xxfy
0x
042 x
x
xfy4
04 2 x