W h i c h space o f space t h e space f o l l o w i n g space r e l a t i o n s space a r e space f u n c t i o n s space f r o m space A equals open curly brackets 2 comma 4 comma 6 comma 8 comma 10 close curly brackets space t o space
B equals open curly brackets 1 comma 2 comma 3 comma 4 comma 5 close curly brackets
1. space f equals open curly brackets open parentheses 2 comma 1 close parentheses comma open parentheses 4 comma 1 close parentheses comma open parentheses 6 comma 1 close parentheses comma open parentheses 8 comma 1 close parentheses comma open parentheses 10 comma 1 close parentheses close curly brackets
2. space f equals open curly brackets open parentheses 2 comma 2 close parentheses comma open parentheses 4 comma 5 close parentheses comma open parentheses 6 comma 2 close parentheses comma open parentheses 8 comma 5 close parentheses comma open parentheses 10 comma 1 close parentheses close curly brackets
3. space f equals open curly brackets open parentheses 4 comma 1 close parentheses comma open parentheses 10 comma 3 close parentheses comma open parentheses 6 comma 1 close parentheses comma open parentheses 8 comma 1 close parentheses comma open parentheses 4 comma 5 close parentheses comma open parentheses 2 comma 2 close parentheses comma open parentheses 4 comma 3 close parentheses close curly brackets
4. space f equals open curly brackets open parentheses 4 comma 5 close parentheses comma open parentheses 6 comma 3 close parentheses comma open parentheses 2 comma 1 close parentheses comma open parentheses 8 comma 1 close parentheses close curly brackets

Please provide solution to this question

Asked by Topperlearning User | 25th Oct, 2016, 08:59: AM

Expert Answer:

A equals open curly brackets 2 comma 4 comma 6 comma 8 comma 10 close curly brackets space
B equals open curly brackets 1 comma 2 comma 3 comma 4 comma 5 close curly brackets
1. space f equals open curly brackets open parentheses 2 comma 1 close parentheses comma open parentheses 4 comma 1 close parentheses comma open parentheses 6 comma 1 close parentheses comma open parentheses 8 comma 1 close parentheses comma open parentheses 10 comma 1 close parentheses close curly brackets
H e r e space e v e r y space e l e m e n t space i n space s e t space A space i s space t h e space f i r s t space c o m p o n e n t space o f space o n e space a n d space o n l y space o n e
o r d e r e d space p a i r space i n space t h e space s u b s e t. space T h u s space t h i s space i s space a space f u n c t i o n.
2. space f equals open curly brackets open parentheses 2 comma 2 close parentheses comma open parentheses 4 comma 5 close parentheses comma open parentheses 6 comma 2 close parentheses comma open parentheses 8 comma 5 close parentheses comma open parentheses 10 comma 1 close parentheses close curly brackets
H e r e space e v e r y space e l e m e n t space i n space s e t space A space i s space t h e space f i r s t space c o m p o n e n t space o f space o n e space a n d space o n l y space o n e
o r d e r e d space p a i r space i n space t h e space s u b s e t. space T h u s space t h i s space i s space a space f u n c t i o n.
3. space f equals open curly brackets open parentheses 4 comma 1 close parentheses comma open parentheses 10 comma 3 close parentheses comma open parentheses 6 comma 1 close parentheses comma open parentheses 8 comma 1 close parentheses comma open parentheses 4 comma 5 close parentheses comma open parentheses 2 comma 2 close parentheses comma open parentheses 4 comma 3 close parentheses close curly brackets
H e r e space 4 space i n space s e t space A space i s space t h e space f i r s t space c o m p o n e n t space o f space t h r e e space o r d e r e d space p a i r s space
i n space t h e space s u b s e t comma space open parentheses 4 comma 1 close parentheses comma open parentheses 4 comma 5 close parentheses comma open parentheses 4 comma 3 close parentheses. space T h u s space t h i s space i s space n o t space a space f u n c t i o n.
4. space f equals open curly brackets open parentheses 4 comma 5 close parentheses comma open parentheses 6 comma 3 close parentheses comma open parentheses 2 comma 1 close parentheses comma open parentheses 8 comma 1 close parentheses close curly brackets
H e r e space e v e r y space o r d e r e d space p a i r space i s space h a v i n g space t h e space f i r s t space c o m p o n e n t space f r o m
s e t space A space o n e space a n d space o n l y space o n e space t i m e. space T h u s space t h i s space i s space a space f u n c t i o n.

Answered by  | 25th Oct, 2016, 10:59: AM