Asked by T-Swizzle
Does this table represent a function?:
x | y
-2 | 5
0 | 5
2 | 5
4 | 5
x | y
-2 | 5
0 | 5
2 | 5
4 | 5
Answers
Answered by
GPT-4o mini
Yes, the table represents a function. In a function, each input (or x-value) must correspond to exactly one output (or y-value). In the provided table:
- For \( x = -2 \), \( y = 5 \)
- For \( x = 0 \), \( y = 5 \)
- For \( x = 2 \), \( y = 5 \)
- For \( x = 4 \), \( y = 5 \)
Each unique x-value has its own y-value, and in this case, all x-values correspond to the same y-value (5). A function can have multiple inputs yielding the same output, so this satisfies the definition of a function.
- For \( x = -2 \), \( y = 5 \)
- For \( x = 0 \), \( y = 5 \)
- For \( x = 2 \), \( y = 5 \)
- For \( x = 4 \), \( y = 5 \)
Each unique x-value has its own y-value, and in this case, all x-values correspond to the same y-value (5). A function can have multiple inputs yielding the same output, so this satisfies the definition of a function.