Graph a function with the following domain and range.
Domain:  {0, 1, 2, 3}
Range:  {-3, 0, 5}

Given the domain `{0, 1, 2, 3}` and range `{-3, 0, 5}`, we need to construct a function that assigns values from the domain to values in the range. Since the domain contains four elements, and the range only contains three, one of the range values will have to be used twice or a domain value won't be mapped.

A simple function might look like this:

| Domain (x) | Range (f(x)) |
|------------|--------------|
| 0          | -3           |
| 1          | 0            |
| 2          | 5            |
| 3          | 0            |

This mapping uses the range values {-3, 0, 5}, with the value `0` being assigned to both 1 and 3.

Now, I will describe the graph:

- Plot points at (0, -3), (1, 0), (2, 5), and (3, 0).
- The x-axis represents the domain values {0, 1, 2, 3}, and the y-axis represents the range values {-3, 0, 5}.
- Connect the points with straight lines (if interpreting this as a piecewise linear function), or you can leave the points unconnected if considering them as discrete points.

Would you like me to graph this function for you?

Here are 5 related questions:
1. How would the graph change if the domain were continuous between 0 and 3?
2. Can you create a function with a different mapping that still fits this domain and range?
3. What type of function could fit this mapping if it were continuous?
4. How would this function change if we added an additional point to the domain or range?
5. How could we represent this function algebraically?

**Tip:** When assigning domain and range values, the function doesn't have to be unique—many mappings can exist based on the set you have!

Graph a function with the following domain and range. Domain: {0, 1, 2, 3} Range: {-3, 0, 5}

Learn how to graph a function with the domain {0, 1, 2, 3} and range {-3, 0, 5}. This problem focuses on mapping domain values to range values and graphing the resulting points. Suitable for students in Grades 6-8, this tutorial explains how to handle non-unique mappings and different ways to interpret discrete points on a graph.

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