Use the graph to determine the domain and range of the relation, and state whether the relation is a function. Can you also show me how you guys did it?

Use the graph to determine the domain and range of the relation and state whether the relation is a function Can you also show me how you guys did it class=

Respuesta :

Answer:

Domain: [0, ∞)

Range: (-∞, ∞)

Not a function

Step-by-step explanation:

Domain

The domain of a relation is the set of all possible input values (x-values) for which the relation is defined.

The smallest x-value of the graphed relation is x = 0. The lines of the relation continue from the point where x = 0 past the confines of the coordinate plane, indicating that the lines extend indefinitely in those directions. Therefore, the domain includes all values of x greater than or equal to 0, which means the domain is [0, ∞).

Range

The range of a relation is the set of all possible output values (y-values) for which the relation is defined.

As the lines of the relation extend indefinitely, the range is not restricted. Therefore, the range is (-∞, ∞).

Function

A function is a special type of relation where each input (x-value) is related to exactly one output (y-value).

In the graphed relation, for values of x greater than zero, there are two corresponding values of y. So, this means that the relation is not a function.