Question

How do you find the domain and range and is it a function given points `{(4,-2), (4,2), (1,-1), (1,1), (0,0)}`?

Answer 1

The domain is `{0,1,4}`
The range is `{-2,-1,0,1,2}`
This is not a function.

Explanation:

The domain is basically a set containing all possible unique inputs
or `x` values. The range is a set containing all possible unique outputs or `y` values. For this set to describe points on a function('s graph), multiple inputs are allowed to yield the same output, however, if even one input can yield multiple outputs, we know for sure that we are not dealing with a function. Here, `4` can either give back `-2` or `2`and `1` can either give `-1` or `1` on the output.