Question

Which number set correctly represents the range of the given data?

{(0, 0), (2, 0), (3, 0), (5, 0)}

{0, 2, 3, 5}
{0}
{0, 2, 3}
{0, 2}

Answer 1

To determine the correct number set that represents the range of the given data points {(0, 0), (2, 0), (3, 0), (5, 0)}, we first need to identify the range, which is defined as the set of output values (y-values) for the given data points.

In the provided data, all y-values are 0:
- For the point (0, 0), the y-value is 0.
- For the point (2, 0), the y-value is 0.
- For the point (3, 0), the y-value is 0.
- For the point (5, 0), the y-value is 0.

Thus, the only unique y-value present in this dataset is 0.

Now, let's examine the given options:

1. {0, 2, 3, 5} - This is incorrect because it includes unnecessary x-values.
2. {0} - This is correct as it represents the only y-value.
3. {0, 2, 3} - This is incorrect because it includes unnecessary x-values.
4. {0, 2} - This is incorrect because it includes unnecessary x-values.

The correct number set that represents the range of the given data is **{0}**.