Which set of ordered pairs represents a function from P to Q? P={5, 10, 15, 20} Q={-2,0,2}
To determine if a set of ordered pairs represents a function from set P to set Q, we need to check if each element of set P is mapped to exactly one element of set Q.
Let's examine each element of set P and its corresponding mapped element in set Q:
1. For the element 5 in set P, there are three possible choices in set Q: -2, 0, or 2. However, the element 5 is not mapped to a unique element in set Q since it has multiple choices.
2. For the element 10 in set P, again we have three possible choices in set Q: -2, 0, or 2. Similarly to the previous case, the element 10 is not mapped to a unique element in set Q.
3. For the element 15 in set P, once again we have three possible choices in set Q: -2, 0, or 2. And once again, the element 15 is not mapped to a unique element in set Q.
4. Finally, for the element 20 in set P, there are three possible choices in set Q: -2, 0, or 2. As before, the element 20 is not mapped to a unique element in set Q.
Based on the above analysis, we can conclude that there is no set of ordered pairs that represents a function from set P to set Q. A function requires each element of the domain to be mapped to a unique element in the range, and that is not the case in this scenario.