Question

Which of the following lists of ordered pairs is a function?

Answer 1

Choice d is correct.

Explanation:

We have to find such ordered pairs that is a function.

Function is a relation in which each value of x has only one value of y.

Option d is correct because each value of x has only one value.

(1,7) (2,5) (3,6) (4,1)

Other options are not correct.

Because at least one value of x has more then one value of y.

For example,

In option a x=3 has two values of y that is -2 and 4 so it is not a function.

Answer 2

Answer: OPTION D.

Explanation:

1. A relation is a function if for each value of x there is only one value of y.

2. You can look for in the options the ordered pairs that has only one value of y for each value of x.

3. For example:

A. (3,-2), (2,-1), (3,4), (4,7)

x=3 has two values of y: (3,-2) and (3,4); therefore, it is not a function.

4. For the option B, the value x=4 has two values of y, therefore, it is not a function.

5. For the option C, the value x=1 has two values of y, therefore, it is not a function.

Then, the answer is the option D.