Kenneth Rosen Edition 7 Exercise 2.3 Question 31 (Page No. 154)

Question

Let $f(x) = \left \lfloor x^2/3 \right \rfloor$. Find $f(S)$ if

1. $S= \left \{ -2,-1,0,1,2,3 \right \}$
2. $S= \left \{ 0,1,2,3,4,5 \right \}$
3. $S= \left \{ 1,5,7,11 \right \}$
4. $S= \left \{ 2,6,,10,14 \right \}$