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, the situation is a function. This is because for each value of 'x' (representing seconds), there is only one corresponding value of 'y' (representing meters). Therefore, there is a unique output for each input, satisfying the definition of a function.
no
To determine if the situation represented by the table is a function, we need to check if each input value (x) is associated with only one output value (y).
Looking at the table, we can see that each second value (x) is associated with only one meter value (y). Therefore, the situation represented by the table is a function.
To determine if the situation represents a function, we need to check if each input (x-value) in the table has a unique output (y-value).
In this case, the values in the "Seconds" column (x-values) are 0.5, 1, 1.5, 2, 2.5, 3, and 3.5. If we look at the corresponding values in the "Meters" column (y-values), we have 28, 48, 60, 64, 60, 48, and 28.
Upon inspection, we can see that each value in the "Seconds" column has a unique corresponding value in the "Meters" column. Therefore, each input (time in seconds) corresponds to a unique output (height in meters).
Hence, the situation represented by the table is indeed a function.