Determine whether each statement is true or false. Explain your answer.
1. Any set of ordered pairs is a function.
— True, as long as the set of ordered pairs have one set of pair each. Another way to put it every x, there is exactly one value of y
2. The perimeter of a square is a function of the length of a side.
— True
3. The set {(2, 4), (-2, 4), (3, 4), -3, 4)) is a function.
— False, because the set is many-to-one correspondence.
4. The set {(3, 1), (-2, 2), (3, 7)} is a function.
— True, because the set is one-to-one correspondence.
5. The set {(x, y) |x= 2y} is a function.
— False, because the set is one-to-many correspondence.
Step-by-step explanation:
Hope this helps po, just correct me if I am wrong po, sorry if I don't have an explanation for number 2
