Is the time you take to go to the library a function of the distance to the library?
I think it's not a function
That's correct. The time it takes to go to the library is not solely determined by the distance to the library. Other factors, such as traffic conditions, mode of transportation, and individual walking or driving speed, can also affect the time it takes to reach the library. Therefore, the time is not a function of the distance alone.
To determine if the time taken to go to the library is a function of the distance to the library, we need to consider if there is a unique output (time) for every input (distance).
In this case, when you go to the library, the time you take generally depends on various factors other than just the distance. For example, your mode of transportation (walking, biking, driving) and your speed can significantly impact the time taken.
Therefore, since the time taken to go to the library is not solely determined by the distance, it is not considered a function of the distance alone.