Which of the sets of ordered pairs represents a function?
A = {(1, −2), (3, −5), (5, 2), (7, 5)}
B = {(4, 2), (4, −2), (9, 3), (9, −3)}
Only A
Only B
Both A and B
Neither A nor B
To determine which set of ordered pairs represents a function, we need to check if each x-value has a unique corresponding y-value.
In set A = {(1, -2), (3, -5), (5, 2), (7, 5)}, we can see that each x-value is unique: 1, 3, 5, and 7. None of the x-values repeat, so we need to check if each x-value has a unique y-value. In this case, each x-value only appears once, so there are no repeated y-values. Therefore, set A represents a function.
Now let's move on to set B = {(4, 2), (4, -2), (9, 3), (9, -3)}. In this set, the x-value 4 and the x-value 9 repeat. This means that there are multiple y-values corresponding to these x-values. Since there are repeating x-values, set B does not represent a function.
To summarize:
- Only set A represents a function.
- Set B does not represent a function.
- Both A and B is not the correct answer.
- Neither A nor B is also not the correct answer.
So, the correct answer is: Only A.
if two pairs have the same first value, the relation is not a function.
so, what do you think?