Question

How do you find the domain and range and is it a function given points `{(0,0), (2,2), (2,-2), (5,8), (5,-8)}`?

Answer 1

See explanation.

Explanation:

If an assignment is given in the form of set of pairs, then to find if it is a function you have to check if there is only one value corresponding to each argument.

This is NOT a function because there are 2 arguments `2` and `5` each having two corresponding values.

Number `2` has `-2` and `2` assigned, number `5` has `8` and `-8`.

To find a domain of an assignment you write all values present in the first position in all pairs without repeating any values. So here we have:

`D={0,2,5}`

The range is set of all values in the second position without repeating any values. So here we have:

`R={-8,-2,0,2,8}`