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An orchard needs to produce 5,000 oranges. The following function represents the average number of oranges that x number of trees must produce to meet the goal. How do the mathematical range and reasonable range compare? mathematical: reasonable: mathematical: reasonable: mathematical: reasonable: mathematical: reasonable:

An orchard needs to produce 5,000 oranges. The following function represents the average-example-1

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The comparison between the mathematical range and the reasonable range is:

Mathematical Range: (y ∈ ℝ, y ≠ 0)

Reasonable Range: (y ∈ ℝ, y > 0)

Mathematical range and reasonable range for the function

The mathematical range and reasonable range for the function

f(x) = 5,000/x are as follows:

Mathematical Range: (y ∈ ℝ, y ≠ 0)

The mathematical range represents all possible values of y that the function can output. In this case, y can take any real number value except for 0 since dividing by zero is undefined.

Reasonable Range: (y ∈ ℝ, y > 0)

The reasonable range represents the values of y that make sense in the given context or problem.

In this case, since we are dealing with the number of oranges, the reasonable range would be y greater than zero. It doesn't make sense to have a negative number or zero as the average number of oranges produced by x number of trees.

Therefore, the comparison between the mathematical range and the reasonable range is:

Mathematical Range: (y ∈ ℝ, y ≠ 0)

Reasonable Range: (y ∈ ℝ, y > 0)

So, the correct answer is:

mathematical: (y ∈ ℝ, y ≠ 0) reasonable: (y ∈ ℝ, y > 0)

User Kalamar Obliwy
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