Consider the given ordered pairs. We have to identify the function.
"A function is a relation and it is the set of ordered pairs that does not contain two pairs with the same first component".
Consider the first ordered pair,
A. (0,2),(4,2),(0,-4),(4,-2)
Since, these ordered pairs has '0' as the same first component in (0,2) and (0,-4). So, it is not a function.
Consider the second ordered pair,
B. (2,4),(3,9),(4,16),(5,25)
Since, these ordered pairs has all the different first component. So, this is a function.
Consider the third ordered pair,
C. (2,4),(-2,4),(3,9),(-2,-4)
Since, these ordered pairs has '-2' as the same first component in (-2,4) and (-2,-4). So, it is not a function.
Consider the fourth ordered pair,
D. (1,1),(2,3),(1,5),(4,7)
Since, these ordered pairs has '1' as the same first component in (1,1) and (1,5). So, it is not a function.
Therefore, the ordered pairs given in option B is a function.
So, Option B is the correct answer.
