Question

2 points
Suppose A = \{a,b,c,d\}A={a,b,c,d} and B = \{p,q,r,s\}B={p,q,r,s} are two sets. Consider the following relations from AA to BB.

R_1 = \{(a,p), (c,r), (d,q)\}R
1
​
={(a,p),(c,r),(d,q)}
R_2 = \{(a,s), (b,s), (c,p), (d,r)\}R
2
​
={(a,s),(b,s),(c,p),(d,r)}
R_3 = \{(a,p), (b,r), (b,s), (d,q)\}R
3
​
={(a,p),(b,r),(b,s),(d,q)}
R_4 = \{(a,r), (b,p), (c,q), (d,s)\}R
4
​
={(a,r),(b,p),(c,q),(d,s)}
Which of the following statements are correct?

R_2,R_3,R
2
​
,R
3
​
, and R_4R
4
​
are functions.

R_2R
2
​
and R_4R
4
​


R_2R
2
​
is an injective function.

R_4R
4
​
is a bijective function.

Answer 1

Answer:

the function is bijective and equivalent