Identify the mapping diagram that represents the relation and determine whether the relation is a function.%C2%A0 {(–2, –5), (–1, –3), (–2, 6), (5, 7)} (1 point) Responses
The mapping diagram that represents the relation is:
-2 --> -5
-1 --> -3
-2 --> 6
5 --> 7
This relation is not a function because there are two different outputs (-5 and 6) corresponding to the same input (-2).
The mapping diagram for the given relation is:
-2 ---> -5
-1 ---> -3
-2 ---> 6
5 ---> 7
To determine if the relation is a function, we need to check if each input value (x-coordinate) is associated with only one output value (y-coordinate).
Looking at the mapping diagram, we can see that the input value -2 is associated with two different output values (-5 and 6). Therefore, the relation is not a function.
To determine if the relation is a function, we need to check if each input in the domain has only one corresponding output in the range.
First, let's create a mapping diagram to represent the relation:
-2 -> -5
-1 -> -3
-2 -> 6
5 -> 7
Now, we can see that the input value -2 has two different output values, -5 and 6. This violates the definition of a function, which states that each input should have only one output.
Therefore, the relation given is not a function.