Answer :

The domain is Domain = {-2 <= x <= 0}, the range is Range = {0 <= y <= 2} and the relation is a function

How to determine the domain of the function?

From the function, we have the following observations:

  • The endpoints of the curve are:(-2, 0) and (0, 2)
  • The  curve do not extend more than the endpoint.

This means that the domain is

Domain = {-2 <= x <= 0}

How to determine the range of the function?

From the function, we have the following observations:

  • The endpoints of the curve are:(-2, 0) and (0, 2)
  • The  curve do not extend more than the endpoint.

This means that the range is

Range = {0 <= y <= 2}

How to determine if the relation is a function?

From the curve, we can see that each x value has exactly one y value

This means that the relation is a function

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