Question

the table below represents an object thrown into the air. is the situation a function?

seconds, x	meters, y
1	48
1.5	60
2	64
2.5	60
3	48
3.5	28

• yes, because each input has exactly one output.
• yes, because each input has more than one output.
• no, because each input has exactly one output.
• no, because each input has more than one output.

Explanation:

To determine if the situation is a function, we use the definition of a function: a relation where each input (x - value) has exactly one output (y - value). Looking at the table, for each value of \( x \) (seconds), there is only one corresponding \( y \) (meters). For example, when \( x = 0.5 \), \( y = 28 \); when \( x = 1 \), \( y = 48 \), and so on. Each input \( x \) has exactly one output \( y \), which satisfies the definition of a function.

Answer:

A. Yes, because each input has exactly one output.