# DM - Functions & Relations -Q5

+1 vote

Let be one to one function from a set U to set V. Let $\dpi{100} S \subseteq U$ and $\dpi{100} T \subseteq U$

f(Y), where $\dpi{100} Y \subseteq U$,  is defined as following :

f(Y) = $\dpi{100} \{ a \in V | f(x) = a \text{ for some x }\in Y \}$

Now consider the following statements :

S1:

S2:

Which of the above statements is TRUE?

(A). Only S1

(B). Only S2

(C), Both S1 and S2

(D). Neither S1 nor S2