Section 1.3
18
Section 1.3 Functions and Their Graphs ها م سدوال ور ال
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Section 1.3. Functions and Their Graphs الدوال ورسمها. الدوال والمجال والمدى. X. Y. X. Y. 1 2 3. a b. 1 2 3. a b c. X. Y. 1 2. a b c. X. Y. X. Y. 1 2. a b c. 1 2 3. a b. التمثيل السهمي Arrow diagram. - PowerPoint PPT Presentation
Transcript of Section 1.3
Section 1.3
Functions and Their Graphsورسمها الدوال
والمجال الدوالوالمدى
123
abc
X Y
123
ab
X Y
12
abc
X Y
123
ab
X Y 12
abc
X Y
السهمي Arrowالتمثيلdiagram
Example 1: Verify the domains and ranges of the following functions
الطبيعي Naturalالمجالdomain
الفاكهة ذبابة
Notice that not every curve is the graph of a function, since for a function, only oney-value corresponds to a given value of x. You can graphically determine whether a curve is the graph of a function by using the vertical line test: if any vertical line intersects the graph in more than one point, the curve is not the graph of a function.
The Vertical Line Test
تجزئة المعرفة الدوال
االستهالك واط بالكيلوkw
القيمة بالريال
R
الشريحة
1-2000 R=0.05kw 1
2001-4000 R=0.10kw 2
4001-6000 R=0.12kw 3
6001-7000 R=0.15kw 4
7001-8000 R=0.20kw 5
8001-9000 R=0.22kw 6
9001-10000 R=0.24kw 7
10001- R=0.26kw 80 1000 2000 3000 4000 5000 6000 7000 8000 9000 10000 11000 12000
0
1000
2000
3000
x
y
.211
10)(
x if x
xx if xf
End of the section
ft
0.05t if 1 t 2000
0.1t 100 if 2001 t 4000
0.12t 180 if 4001 t 6000
0.15t 360 if 6001 t 7000
0.2t 720 if 7001 t 8000
0.22t 870 if 8001 t 9000
0.24t 1050 if 9001 t 10000
0.26t 1250 if 10001 t0 1000 2000 3000 4000 5000 6000 7000 8000 9000 10000 11000
0
200
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600
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1600y
