Suppose $f : \mathbf { R } \rightarrow \mathbf { Z }$

Short Answer

Suppose $f : \mathbf { R } \rightarrow \mathbf { Z }$ where $f ( x ) = \lceil 2 x - 1 \rceil$ .
(a) If A= $\{ x \mid 1 \leq x \leq 4 \}$ , find $f ( A )$ .
(b) If B={3,4,5,6,7} , find $f ( B )$ .
(c) If C={-9,-8} , find $f ^ { - 1 } ( C )$
(d) If D={0.4,0.5,0.6} , find $f ^ { - 1 } ( D )$