Question

Find the range of {(3.2, –3), (7.6, 5.9), (1.4, –3), (–9.1, 8.3)}.


{–3, 5.9, 8.3}


{–3, 1.4, 3.2}


{–9.1, 1.4, 3.2, 7.6}


{–9.1, 5.9, 7.6, 8.3}

Answer 1

To find the range of the set of points, we need to identify all the unique values from the second element (the y-coordinates) of each coordinate pair. The given points are:

1. (3.2, –3)
2. (7.6, 5.9)
3. (1.4, –3)
4. (–9.1, 8.3)

The y-coordinates from these points are:
- -3 (from both (3.2, –3) and (1.4, –3))
- 5.9 (from (7.6, 5.9))
- 8.3 (from (–9.1, 8.3))

Now, we list the unique y-coordinates:
- -3
- 5.9
- 8.3

Therefore, the range is the set of unique y-values: {–3, 5.9, 8.3}.

The correct answer is:
**{–3, 5.9, 8.3}**.