which relation is NOT a function?
1) {(1,5),(2,6),(3,6),(4,7)}
2) {(4,7),(2,1),(-3,6),(3,4)}
3) {(-1,6),(1,3),(2,5),(1,-7)}
4) {(-1,2),(0,5),(5,0),(2,-1)}
3) has two values of y for x = 1
three and negative seven
thank you
The relation that is NOT a function is option 1) {(1,5), (2,6), (3,6), (4,7)}. In this relation, the input value of 3 is mapped to two different output values, 6 and 7. In a function, each input value should only have one corresponding output value.
To determine which relation is NOT a function, we need to check if each input value (x-value) in the relation is associated with only one output value (y-value).
1) {(1,5),(2,6),(3,6),(4,7)}
In this relation, all the input values have unique output values. Therefore, it is a function.
2) {(4,7),(2,1),(-3,6),(3,4)}
Here, the input value 2 is associated with two different output values: 1 and 6. Hence, it is NOT a function.
3) {(-1,6),(1,3),(2,5),(1,-7)}
In this relation, all the input values have unique output values. Therefore, it is a function.
4) {(-1,2),(0,5),(5,0),(2,-1)}
Similarly, each input value in this relation is associated with a unique output value. Therefore, it is also a function.
So, the relation that is NOT a function is option 2) {(4,7),(2,1),(-3,6),(3,4)}.