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Vanyuwa
14 days ago
13

What is the range of the given function? {(–2, 0), (–4, –3), (2, –9), (0, 5), (–5, 7)

Mathematics
1 answer:
Leona [4.1K]14 days ago
8 0

Answer:

  {0, –3, –9, 5, 7)}

Step-by-step explanation:

The output values of the function are represented by the second elements in the pairs:

  {0, –3, –9, 5, 7}

_____

If desired, these can be arranged in ascending order:

  {-9, -3, 0, 5, 7}

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Answer:

Part A: During the interval from 0 to 2 seconds, the water balloon reaches a height of 75 feet from an initial height of 60 feet, showing an increase in height during [0,2]

Part B: Between 2 to 4 seconds, the height remains constant at 75 feet, indicating a stable height during [2,4]. Similarly, from 10 to 12 seconds, the height stays at 0 feet, thus remaining unchanged during [10,12] and from 12 to 14 seconds, it also remains at 0 feet, indicating stability during [12,14].

Part C: The water balloon height decreases most rapidly between the intervals [4,6], dropping by 35 feet. The other intervals that show a decrease, [6,8] and [8,10], drop by 20 feet each. Thus, it reveals that the decreasing interval [4,6] is the most significant, as 35 feet is a more considerable reduction compared to 20 feet.

Part D: I estimate that at 16 seconds, the height of the water balloon will be 0 feet. This correlates with the height of the balloon being 0 feet between 10 and 14 seconds. In real-life contexts, if the balloon rests on the ground at 0 feet, it stays on the ground because of gravitational force.

Step-by-step explanation:

I hope this offers some assistance! I can't confirm if everything is accurate, but I have researched thoroughly, so fingers crossed it is correct! Best of luck!

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Step-by-step explanation:

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