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15 August, 21:03

At a summer camp, 6-year-olds are in Group A, 7-year-olds are in Group B, and 8-year-olds are in Group C. Is the group assignment a function of age? If so, is the function one-to-one or many-to-one?

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  1. 15 August, 21:07
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    Answer: many to one
  2. 15 August, 21:29
    0
    Yes, it is a one-to-one function

    Step-by-step explanation:

    Since, a relation in which each input value has only one output value is called function,

    Here, we have given a relation,

    In which input value is age of student and output value is student's group,

    ∵ input = 6, output = group A,

    input = 7, output = group B,

    input = 8, output = group C,

    Thus, each input value has only one output value,

    So, the group assignment is a function of age.

    Now, in a function if each input has distinct output then the function is called one-one otherwise many-one.

    ∵ for each age of student there is a different grade.

    Hence, it would be one-to-one function.
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