Determine whether the relation is a function. Explain. x y4 –5–1 –100 –91 –79 1
Question
Determine whether the relation is a function. Explain.
| x | y |
|---|---|
| 4 | -5 |
| -1 | -100 |
| 0 | -91 |
| 1 | -79 |
Solution
To determine if a relation is a function, we need to check if each input (x-value) is paired with exactly one output (y-value).
The given relation is:
x: 4, -1, 0, 1, 9 y: -5, -10, -9, -7, 1
We can see that each x-value is paired with exactly one y-value. For example, 4 is paired with -5, -1 is paired with -10, 0 is paired with -9, 1 is paired with -7, and 9 is paired with 1.
Therefore, the relation is a function because each input (x-value) is paired with exactly one output (y-value).
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