Question 1 (10 points)
1 answer:
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The function in the graph has the name of square function.
The domain of a function is all values of x the function can have. The domain of this function is all real numbers:
The range of a function is all values of y the function can have. The range of this function is all positive numbers, including zero:
In order to graph f(x) + 2, we just need to translate the graph 2 units up. To find the new points, we need to increase all y-coordinates by 2:
(-2, 6), (-1, 3), (0, 2), (1, 3), (2, 6)
Domain: {x ∈ ℝ}
Range: {y ∈ ℝ | y ≥ 2}
Then, in order to graph f(x) - 2, we just need to translate the graph 2 units down. To find the new points, we need to decrease all y-coordinates by 2:
(-2, 2), (-1, -1), (0, -2), (1, -1), (2, 2)
Domain: {x ∈ ℝ}
Range: {y ∈ ℝ | y ≥ -2}
Answer:
The value is
Step-by-step explanation:
From the question we are told that
The weight of the bucket is
The depth of the well is
The weight of the water is
The rate at which the bucket with water is pulled is
The rate of the leak is
Generally the workdone is mathematically represented as
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Here G(x) is a function defining the weight of the system (water and bucket ) and it is mathematically represented as
Here I is the rate of water loss in lb/ft mathematically represented as
=>
=>
So
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So
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