what is the range of the relation below?

((1,2)(3,4)(5,6)(7,8))
a)all real numbers
b) all even numbers
c)(2,4,6,8)
d)(1,3,5,7)
I am confused because I thought the range was the highest - the lowest number.
so if it was the highest 8-1, the lowest, the answer would be 7.
if you do each set separately each answer is 1
either way I would say a) they are all real numbers.
Is this correct? If not could you lead me in the correct direction of what to do. Thanks

Rang : {2, 4,6,8}

Ans C

The range by definition is a set that contains all the y values .

ok, so the first number is the x value and the second is the y value?

Thank you for explaining that.

Yes first number is x value and second number is y value.

To find the range of a relation, you need to determine the set of all possible output values (or the second element of each ordered pair in the relation).

In this case, the relation is ((1,2)(3,4)(5,6)(7,8)). The second element of each ordered pair is the output or the range.

So, the range of this relation is the set of all second elements: {2, 4, 6, 8}. Therefore, the correct answer is c) (2, 4, 6, 8).

You mentioned that you thought the range was the highest minus the lowest number. That is not true for relation range. The range of a relation represents the set of all possible output values, without considering their order or any mathematical operations between them. Hence, calculating the highest minus the lowest number does not apply here.

Remember, to find the range, identify the second element of each ordered pair in the relation, and list them all without repetition to determine the set of possible output values.