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The domain of the function is the amount of fuel in the airplane's tank,

  • The set of values of the domain is all set of real numbers from 0 to 200
  • The range of the function is the weight of the airplane, and the set of values is all set of real numbers from 3000 to 4400

How to determine the domain and the range

The weight of the plane as a function of the amount of fuel is given as:

W=7F + 3000

The plane can take up to 200 gallons of fuel.

This means that, the domain of the function is the amount of fuel in the airplane's tank, and the set of values is all set of real numbers from 0 to 200

When F = 0, we have:

W = 7*0 + 3000

W = 3000

When F = 200, we have:

W = 7*200 + 3000

W = 4400

This means that, the range of the function is the weight of the airplane, and the set of values is all set of real numbers from 3000 to 4400

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