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Is the relation represented in this table a function?

x −6 −4 0 2 4
y 5 5 3 3 0
Select the statements that are true.

Question 2 options:

An element from the domain is paired with more than one element from the range.


The relation is a function.

Respuesta :

Answer:

A table of values is not going to be a function if two y values have the same x value.

If you run a vertical line through the x and get 2 y values, you are not dealing with a function. The one that does that is D. You have 3 and the two y values for x = 3. Those two y values are -4 and 0.

Step-by-step explanation:

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Correct answer: The relation is a function.

A function is a relation in which no two ordered pairs have the same input (or x-values) and different outputs (y-values).


Looking at the given relation, each input (x-value or domain) corresponds to exactly one output (y-value or range).

Plotting the points on the graph and performing the Vertical Line Test allows us to know whether or not a graph is actually a function. If a vertical line intersects the graph in all places at exactly one point, then the relation is a function.

Attached is a screenshot of the plotted points. I drew vertical lines to show you that each vertical line crosses the graph at most once. This implies that each x-value has one corresponding y-value.

These are the reasons why the given relation is a function.

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