make a mapping diagram with domains of -5,0,5 and ranges of 0,-5,5
To create a visual representation of the mapping diagram, we can plot the given domains and ranges as points on a graph. Here's how you can do it step by step:
Step 1: Initialize a graph with a coordinate system.
Step 2: Mark the x-axis (horizontal line) with the domain values: -5, 0, and 5.
Step 3: Mark the y-axis (vertical line) with the range values: 0, -5, and 5.
Step 4: Starting with the first domain value (-5), plot a point where the x-coordinate is -5 and the y-coordinate is 0 (since the range for -5 is 0).
Step 5: Repeat the previous step for the remaining domain and range values:
- For the domain 0, plot a point with an x-coordinate of 0 and a y-coordinate of -5.
- For the domain 5, plot a point with an x-coordinate of 5 and a y-coordinate of 5.
Step 6: Connect the points on the graph using lines, which represents the mapping relationships between the x and y values.
The resulting mapping diagram should look like this:
```
^
|
5 | o
|
4 |
|
3 |
|
2 | o
|
1 |
|
0 | o
|
-1 |
|
-2 | o
|
-3 |
|
-4 |
|
-5 | o
|_______________>
-5 0 5
```
In the diagram, the domain values (-5, 0, 5) are represented on the x-axis, and the range values (0, -5, 5) are represented on the y-axis. The points and lines show the mapping relationships between the domain and range values.