Do you understand how to figure out if data in a table is a function? Can you explain how you got your answer?
The Table:
x | y
-2 | -2
-1 | 2
0 | 6
1 | 10
2 | 14
To determine if the data in a table represents a function, we need to check if each input (x-value) corresponds to exactly one output (y-value). If there is any case where an x-value corresponds to multiple y-values, then it is not a function.
Looking at the given table:
- The x-values are: -2, -1, 0, 1, 2
- The y-values are: -2, 2, 6, 10, 14
We can see that each x-value corresponds to exactly one y-value:
- When x = -2, y = -2
- When x = -1, y = 2
- When x = 0, y = 6
- When x = 1, y = 10
- When x = 2, y = 14
Since each x-value has a unique corresponding y-value in this table, we can conclude that the data in the table represents a function.