Question

Which of the relations given by the following sets of ordered

pairs is a function?
O {(1, 2), (-4, 8), ( – 3, 5), (1, - 2), (7, 12)}
O
{(5, 4), (4,3), (3, 2), (4, 5), (2, 1)}
O {(5, 4), (5, 6), (5, 8), (5, 10), (5, 12)}
O {(6, 1), (-3, 1), (3, 5), (2, 4), ( − 1, 2)}

Answer 1

Answer: The last one is a function

Explanation:

If A value of x for example 4 produces more than one y value like 1 and 3 it is not a function also graphing it and using the line method helps

Answer 2

Answer is {(6, 1), (-3, 1), (3, 5), (2, 4), ( − 1, 2)}
The last set.

A function set will have a unique y value for every x value. There will be no repeats of the x value in the set.

❌ {( 1, 2), (-4, 8), ( – 3, 5), (1, - 2), (7, 12)}
There is a repeat of x = 1

❌ {(5, 4), (4,3), (3, 2), (4, 5), (2, 1)}
There is a repeat of x = 4

❌ {(5, 4), (5, 6), (5, 8), (5, 10), (5, 12)}
There is a repeat of x = 5

✅ {(6, 1), (-3, 1), (3, 5), (2, 4), ( − 1, 2)}
There is a unique y value for every x. There are no repeated x values in this set.