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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?

Respuesta :

Answer:

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.

fichoh

The group assignment could be said to be a function of age, with each group belonging to a particular age group, it is a one-to-one function.

A function is said to be One - to - One when every element in the range corresponds to only one element in the domain while many-to-one functions return more than one element in the domain for any element in the range.

Since, each group in the range is assigned to only one particular age group, then we can conclude that the group assignment is a one-to-one function.

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