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The table below represents an object thrown into the air.

A 2-column table with 7 rows. Column 1 is labeled Seconds, x with entries 0.5, 1, 1.5, 2, 2.5, 3, 3.5. Column 2 is labeled Meters, y with entries 28, 48, 60, 64, 60, 48, 28.

Is the situation a function?
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.

1 answer

To determine if the situation is a function, we need to check if each input (in this case, the time in seconds) corresponds to exactly one output (the height in meters).

From the table:

  • At 0.5 seconds, the height is 28 meters.
  • At 1.0 seconds, the height is 48 meters.
  • At 1.5 seconds, the height is 60 meters.
  • At 2.0 seconds, the height is 64 meters.
  • At 2.5 seconds, the height is 60 meters.
  • At 3.0 seconds, the height is 48 meters.
  • At 3.5 seconds, the height is 28 meters.

Each value in the "Seconds" column corresponds to exactly one value in the "Meters" column. Even though some heights repeat (for example, 60 meters at 1.5 and 2.5 seconds), each specific time has a unique height associated with it.

Therefore, we can conclude:

Yes, because each input has exactly one output.