I have started reading a Maths text book (Calculus, Gilbert Strang) for engineers as I am going to start a course in September and would like to remember what I have studied in the past. There are no explanations on the results of the exercises and I have found a couple that I am not able to understand by myself. I think they are quite simple, but I am not able to solve them.
Could you please help me and explain how the book gets to the solution? - I do not get how the velocity (v) results 2. -
Exercise. What functions have f (t + 1)=f (t)+ 2? Solution. The function increases by 2 in one time unit so the slope (velocity) is 2; f (t) =2t +C with constant C =f (0).