For each relation below, determine if it is a function and explain your reasoning.
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Question 1
1.
Is this a function?
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Question 2
2.
Is this a function?
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Question 3
3.
Is this a function?
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Question 4
4.
Is this a function?
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Question 5
5.
Suppose we find the height and weight of every student in school. We measure height in both centimeters and inches. We measure weight in pounds. Is height a function of weight? Explain
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Question 6
6.
The table below shows the average temperature for the city of New Britain by month.
What is the independent variable?
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Question 7
7.
The table below shows the average temperature for the city of New Britain by month.
What is the dependent variable?
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Question 8
8.
The table below shows the average temperature for the city of New Britain by month.
What is the domain of this situation ?
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Question 9
9.
The table below shows the average temperature for the city of New Britain by month.
What is the range of this situation?
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Question 10
10.
Which graph below best represents the data in the table?
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Question 11
11.
When you know the Celsius temperature (x), you can find the Fahrenheit temperature using the rule f(x) = 1.8x + 32. Find f(10).
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Question 12
12.
Use your answer from above to find the month with the average temperature closest to 10°C (degrees Celsius) ?
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Question 13
13.
Mr. Rodriguez hired an electrician to update several electrical outlets in his home. The electrician charges $80 plus $45 an hour or any fraction of an hour. Let x represent the number of hours that the electrician works. The total cost, f(x), can be represented by the function f(x) = 80 + 45x.
Fill in the table for 1 hour ↓
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Question 14
14.
Mr. Rodriguez hired an electrician to update several electrical outlets in his home. The electrician charges $80 plus $45 an hour or any fraction of an hour. Let x represent the number of hours that the electrician works. The total cost, f(x), can be represented by the function f(x) = 80 + 45x.
Fill in the table for 2 hours ↓
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Question 15
15.
Mr. Rodriguez hired an electrician to update several electrical outlets in his home. The electrician charges $80 plus $45 an hour or any fraction of an hour. Let x represent the number of hours that the electrician works. The total cost, f(x), can be represented by the function f(x) = 80 + 45x.
Fill in the table for 3 hours ↓
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Question 16
16.
Mr. Rodriguez hired an electrician to update several electrical outlets in his home. The electrician charges $80 plus $45 an hour or any fraction of an hour. Let x represent the number of hours that the electrician works. The total cost, f(x), can be represented by the function f(x) = 80 + 45x.
Fill in the table for 4 hours ↓
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Question 17
17.
Mr. Rodriguez hired an electrician to update several electrical outlets in his home. The electrician charges $80 plus $45 an hour or any fraction of an hour. Let x represent the number of hours that the electrician works. The total cost, f(x), can be represented by the function f(x) = 80 + 45x.
Find f(8)
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Question 18
18.
If Mr. Rodriguez receives a bill of $1,205 from the electrician, how many hours did the electrician work?
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Question 19
19.
Karen visited the Connecticut Free Fall Club to try sky diving. The actual dive that Karen performed is pictured in the graph below. Karen’s altitude is a function of time. The graph shows her altitude as she flying in the plane, free falling from the sky, opening her parachute and descending slowly to the ground. Free falling is when a person is falling from the sky towards the ground where only gravity is affecting their motion.
What is the domain of this function ?
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Question 20
20.
What is the range of this function ?
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Question 21
21.
What is the value of f(50) ?
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Question 22
22.
Based on the context of the problem, what happens when t=50 seconds?