Question

Is this a function or non function
x y
-2 -7
-1 -4
0 -1
1 2
2 5

Answer 1

To determine if a relation is a function, we need to check if each input (or x-value) corresponds to exactly one output (or y-value).

Looking at your provided values:

- For \( x = -2 \), \( y = -7 \)
- For \( x = -1 \), \( y = -4 \)
- For \( x = 0 \), \( y = -1 \)
- For \( x = 1 \), \( y = 2 \)
- For \( x = 2 \), \( y = 5 \)

Each x-value is unique and maps to a single y-value. Since there are no repeated x-values with different y-values, this relation is a function.