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Use interval notation to write the domain and range of the function , where x is the weight of the apples (in pounds) and is the cost (in dollars).

Question

Use interval notation to write the domain and range of the function, where

x is the weight of the apples (in pounds) and

y is the cost (in dollars).

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Solution

Final Answer

  1. Domain of the function: Assuming the weight x x (in pounds) of apples can range from 0 pounds to a maximum weight, the domain can be represented as: Domain: [0,M] \text{Domain: } [0, M] (where M M is the maximum weight limit of the apples permissible for sale).

  2. Range of the function: If the cost y y (in dollars) is dependent on the weight, and assuming it starts at a minimum price for 0 pounds and increases linearly or otherwise up to a maximum price, the range can be represented as: Range: [Cmin,Cmax] \text{Range: } [C_{\text{min}}, C_{\text{max}}] (where Cmin C_{\text{min}} is the minimum price, and Cmax C_{\text{max}} is the maximum price for the apples based on their weight).

Therefore, without specific numerical values for the maximum weight and prices, the domain and range of the function can be generically expressed as: Domain: [0,M],Range: [Cmin,Cmax] \text{Domain: } [0, M], \quad \text{Range: } [C_{\text{min}}, C_{\text{max}}]

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