Question

What is the range of the relation below?

{(2,4),(1,1),(0,0),(1,-1),(2,-4)

All values between -4 and 4
all real numbers
{0,1,2}
{-4,-1,0,1,4}

Answer 1

To find the range of the relation given by the set of ordered pairs \{(2,4),(1,1),(0,0),(1,-1),(2,-4)\}, we need to identify all the unique output values (the second elements of each ordered pair).

The pairs are:
- From (2, 4), the output is 4.
- From (1, 1), the output is 1.
- From (0, 0), the output is 0.
- From (1, -1), the output is -1.
- From (2, -4), the output is -4.

Now we collect all the output values:
- 4
- 1
- 0
- -1
- -4

The unique output values we have are: \{-4, -1, 0, 1, 4\}.

Therefore, the range of the relation is \{-4, -1, 0, 1, 4\}.

So the correct answer is:
**{-4, -1, 0, 1, 4}.**