Identify the mapping diagram that represents the relation and determine whether the relation is a function
{(-5,-4), (-1,5),(-5,3),(7,8)}
C
-4. -5
3. -1
5. 7
8
The relation is not a function.
Oh, we're dealing with mapping diagrams and relations now? This is going to be fun! Let's see what we've got.
{(-5,-4), (-1,5), (-5,3), (7,8)}
_____________
| -5 | -4 |
|_______|______|
| -1 | 5 |
|______|______|
| -5 | 3 |
|______|______|
| 7 | 8 |
|______|______|
Alright, so let's determine if this relation is a function. To do that, we need to check if each input value (x) only has one output value (y). In other words, no repeating x values.
Ah, it looks like we have (-5,-4) and (-5,3) as repeating x values. So sadly, this relation is NOT a function.
But hey, at least we had a good laugh along the way, right?
The mapping diagram for the relation would be:
-5 --> -4
-1 --> 5
-5 --> 3
7 --> 8
To determine whether the relation is a function, we need to check if each input has a unique output. In this case, we see that (-5) is paired with both -4 and 3, which means that the relation is NOT a function.
To determine if the relation is a function, we need to check if each input in the mapping diagram has only one corresponding output.
The mapping diagram for the given relation is as follows:
-5 -> -4
-1 -> 5
-5 -> 3
7 -> 8
In a function, each input should have only one corresponding output. However, in this case, the input -5 is paired with two different outputs: -4 and 3.
Since -5 has multiple outputs, the relation is not a function.