Does this table represent a function?:

Question

x | y
-2 | 5
0 | 5
2 | 5
4 | 5

Answer 1

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.