Identify the mapping diagram that represents the relation and determine with the relation is a function. (-3,2) (-1,3) (-3,9) (2,7)
(1 point)
Responses
A
A
B
B
C
C
D
C
To identify the mapping diagram that represents the relation and determine if the relation is a function, we need to first understand what a mapping diagram and a function are.
A mapping diagram is used to show the relationship between sets of elements. In this case, we have a set of input values and a set of output values.
A function is a relation where each input value (x) is associated with exactly one output value (y).
Let's take a look at the given set of ordered pairs: (-3,2), (-1,3), (-3,9), (2,7).
To represent these ordered pairs in a mapping diagram, we can draw arrows from each input value to its corresponding output value. For instance, we draw an arrow from -3 to 2, from -1 to 3, -3 to 9, and from 2 to 7.
Mapping Diagram:
-3 -> 2
-1 -> 3
-3 -> 9
2 -> 7
Now, to determine if the relation is a function, we need to check if each input value is associated with exactly one output value.
In this case, we can see that the input value -3 is associated with both 2 and 9. Since one input value is not associated with exactly one output value, the relation is not a function.
Therefore, the mapping diagram that represents the relation is:
-3 -> 2, 9
-1 -> 3
2 -> 7
The answer is D.