Answered

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which relation has a domain of {-5,-3,0} and a range of {1,2,3,4,5,6,7,8}

Sagot :

1nfinity

Answer:

To determine the relation that has the given domain {-5, -3, 0} and range {1, 2, 3, 4, 5, 6, 7, 8}, we need to consider the possible types of relations and their corresponding characteristics.

The key characteristics to consider are:

- Domain: the set of input values

- Range: the set of output values

Given the information provided, the relation that matches the described domain and range is:

A function

A function is a relation where each element in the domain is paired with exactly one element in the range.

In this case, the domain {-5, -3, 0} is mapped to a set of unique output values in the range {1, 2, 3, 4, 5, 6, 7, 8}.

For example, the function could be defined as:

f(x) = x + 6

Where:

- f(-5) = 1

- f(-3) = 3

- f(0) = 6

This satisfies the given domain and range requirements.

Other types of relations, such as a one-to-many relation or a many-to-many relation, would not have a domain and range that exactly match the provided information.

Therefore, the relation that has the given domain {-5, -3, 0} and range {1, 2, 3, 4, 5, 6, 7, 8} is a function.

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