Identify the mapping diagram that represents the given relation and determine whether the relation is a function.
{(–3, –6), (–1, –6), (5, –6), (8, –6)}
The mapping diagram for the given relation {(–3, –6), (–1, –6), (5, –6), (8, –6)} would look like this:
-3 --> -6
-1 --> -6
5 --> -6
8 --> -6
To determine whether the relation is a function, we need to check if each input (x value) is associated with exactly one output (y value). In this case, for every x value, the y value is -6. Therefore, the relation is a function since each input is associated with only one output.
To identify the mapping diagram that represents the given relation and determine whether the relation is a function, we need to analyze the set of ordered pairs provided.
First, let's plot the points on a graph to visualize the relation:
Points: (–3, –6), (–1, –6), (5, –6), (8, –6)
On the graph, we have the x-values (-3, -1, 5, 8) on the horizontal axis, and the y-values (-6) on the vertical axis. We connect the points on the graph using lines or dots.
Mapping Diagram:
We can create a mapping diagram by simply listing the x-values and their corresponding y-values.
x | y
--------------
-3 | -6
-1 | -6
5 | -6
8 | -6
From the mapping diagram, we can see that each x-value is associated with the same y-value (-6).
Now, to determine if the relation is a function, we need to check if each x-value has a unique corresponding y-value. If multiple x-values have the same y-value, it is not a function.
In this case, all the x-values (-3, -1, 5, 8) have the same y-value (-6). Since each x-value has a unique corresponding y-value, the relation is a function.
Therefore, the mapping diagram that represents the given relation is:
x | y
--------------
-3 | -6
-1 | -6
5 | -6
8 | -6
And the relation is a function.
Did you plot you points?
What did you notice?
Does your graph satisfy the definition of a function?