Domain and range of the functions II
Presentation
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Mathematics
•
University
•
Hard
ammar al-qadasi
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12 Slides • 9 Questions
1
Domain and range of a function II
By ammar al-qadasi
2
finding the domain of a function
3
Multiple Choice
Example 1
All Real Numbers
ℝ − {1, -1}
ℝ − {1}
ℝ − {0}
4
finding the domain of a function - Example 1
5
finding the domain of a function - Example 2
6
Multiple Choice
Example 2
All Real Numbers
ℝ − {0}
ℝ − {-3, 4}
ℝ − [-3,4]
7
finding the domain of a function - Example 2
So, the domain of the function is
ℝ − {−3,4} .
Also, the domain is
(−∞,−3) ∪ (−3,4) ∪ (4, ∞) .
8
Multiple Choice
Example 3
All Real Numbers
ℝ − (-2,3)
ℝ − {-2, 3}
ℝ − [-2,3]
9
finding the domain of a function - Example 3
10
Multiple Choice
Example 4
All Real Numbers
ℝ − (-4,4)
ℝ − {-4, 4}
[-4,4]
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finding the domain of a function - Example 4
Therefore, the domain is [−4,4].
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Multiple Choice
Example 4
Find the range
All Real Numbers
[0,4]
ℝ − {-4, 4}
[-4,4]
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finding the Range of a function - Example 4
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Multiple Select
Example 5
All Real Numbers
(2,∞)
ℝ − {-2}
[-2,∞]
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finding the domain of a function - Example 5
16
Multiple Select
Example 6
All Real Numbers
[0,∞)-{4}
ℝ − {4}
[-2,∞]
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finding the domain of a function - Example 6
18
Multiple Select
Example 7
All Real Numbers
Domain = ℝ − {3}
Range = ℝ − {3}
Domain = ℝ − {0}
Range = ℝ − {3}
Domain = ℝ − {0}
Range = ℝ − {0}
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finding the domain and Range of a function - Ex 7
20
Multiple Choice
Example 8
All Real Numbers
Domain = ℝ Range = ℝ − {4}
Domain = ℝ − {0}
Range = [3,∞)
Domain = ℝ
Range = [3,∞)
21
finding the domain and Range of a function - Ex 8
Domain and range of a function II
By ammar al-qadasi
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