For a function to have a derivative in a point has to be continuous at the point, that is, it has to be defined at that point, other wise the derivative would be meaningless.
The answer is -2, to find slope simply to rise/run which in this case is -6/3
The answer is f because it equals 1/3 and f is 1/3
It will be six laps because 8 times three equal 24 and 2 laps in 8 minutes each 8 min will be two so 2 times three equal six