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Suppose the function E(c) represents the earnings of a volleyball team from selling c cupcakes. They are selling each cupcake for $2. They only bought enough supplies to make 100 cupcakes. Describe an appropriate domain and range of this function using interval notation.

Respuesta :

Using domain and range concepts, it is found that:

  • An appropriate domain for the function is: [tex]c \in [0,100][/tex]
  • An appropriate range for the function is [tex]E \in [0,200][/tex].

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  • The domain of a function are the values that the input can assume.
  • The range of a function are the values that the output can assume.

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  • The function E(c) represents the earnings of selling c cupcakes.
  • The input is the number of cupcakes sold c.
  • The output is the earnings E.

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  • They have enough supplies to make 100 cupcakes, thus, at most 100 cupcakes can be sold, meaning that an appropriate domain for the function is: [tex]c \in [0,100][/tex]
  • If no cupcakes are sold, the earnings will be of $0. If all 100 cupcakes are sold, the earnings will be of $200, as each is sold for $2, meaning that an appropriate range for the function is [tex]E \in [0,200][/tex].

A similar problem is given at https://brainly.com/question/2145599