How do I plot y= [x] + (x-[x]) ^(1/2)?

Answer 1

Make and x/y ladder:

y = -2 + √(x + 2), if -2 ≤ x -1

y = -1 + √(x + 1), if -1 ≤ x < 0

At the Calculus level you should be able to continue and graph.