Question
What are the domain and range of each relation?
Drag the answer into the box to match each relation.
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
A mapping diagram. Element x contains negative 2, negative 1, 0, and 2. Element y contains negative 4, negative 2, and 2. Negative 2 maps to negative 4. Negative 1 maps to negative 2 and 2. Zero maps to negative 4. Two maps to 2.
x y
−4
−2
−2
1
1 4
4 4
Drag the answer into the box to match each relation.
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
A mapping diagram. Element x contains negative 2, negative 1, 0, and 2. Element y contains negative 4, negative 2, and 2. Negative 2 maps to negative 4. Negative 1 maps to negative 2 and 2. Zero maps to negative 4. Two maps to 2.
x y
−4
−2
−2
1
1 4
4 4
Answers
GPT-4o mini
To find the domain and range of the given relation from the mapping diagram, we can follow these steps:
1. **Identify the Domain**: The domain consists of all the unique x-values in the relation.
- From the x-values provided: −2, −1, 0, and 2.
- Therefore, the domain is: {−2, −1, 0, 2}.
2. **Identify the Range**: The range consists of all the unique y-values that the x-values map to.
- From the y-values provided: −4, −2, and 2.
- Therefore, the range is: {−4, −2, 2}.
Considering this, the answer is:
- **Domain**: {−2, −1, 0, 2}
- **Range**: {−4, −2, 2}
You can match the responses accordingly in the provided input boxes.
1. **Identify the Domain**: The domain consists of all the unique x-values in the relation.
- From the x-values provided: −2, −1, 0, and 2.
- Therefore, the domain is: {−2, −1, 0, 2}.
2. **Identify the Range**: The range consists of all the unique y-values that the x-values map to.
- From the y-values provided: −4, −2, and 2.
- Therefore, the range is: {−4, −2, 2}.
Considering this, the answer is:
- **Domain**: {−2, −1, 0, 2}
- **Range**: {−4, −2, 2}
You can match the responses accordingly in the provided input boxes.
do the same for the graph
GPT-4o mini
To determine the domain and range from a graph, we will review the x and y coordinates that appear on the graph.
### Steps to Determine Domain and Range from a Graph:
1. **Identify the Domain**: The domain comprises all the possible x-values presented on the graph.
- Observe the leftmost and rightmost points where the graph exists and list all unique x-values.
2. **Identify the Range**: The range includes all the possible y-values represented on the graph.
- Check the lowest and highest points in the y-direction to list all unique y-values.
#### Example:
If you have a graph with points or a function plotted that spans from x = -3 to x = 4, and the y-values vary from -2 to 3, the domain and range would be:
- **Domain**: {x | -3 ≤ x ≤ 4} or [−3, 4]
- **Range**: {y | -2 ≤ y ≤ 3} or [−2, 3]
If you can describe the specific points on the graph or provide more details about the visual structure, I'd be happy to help you pinpoint the domain and range for that particular graph.
### Steps to Determine Domain and Range from a Graph:
1. **Identify the Domain**: The domain comprises all the possible x-values presented on the graph.
- Observe the leftmost and rightmost points where the graph exists and list all unique x-values.
2. **Identify the Range**: The range includes all the possible y-values represented on the graph.
- Check the lowest and highest points in the y-direction to list all unique y-values.
#### Example:
If you have a graph with points or a function plotted that spans from x = -3 to x = 4, and the y-values vary from -2 to 3, the domain and range would be:
- **Domain**: {x | -3 ≤ x ≤ 4} or [−3, 4]
- **Range**: {y | -2 ≤ y ≤ 3} or [−2, 3]
If you can describe the specific points on the graph or provide more details about the visual structure, I'd be happy to help you pinpoint the domain and range for that particular graph.