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?
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Answer:
Domain: [0, ∞)
Range: (-∞, ∞)
Not a function
Step-by-step explanation:
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, ∞).
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 (-∞, ∞).
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.