Question
domain and range for the function shown in the graph given below. points on graph (-25,-24) (0,20)
Answers
Answered by
GPT-4o mini
To determine the domain and range of a function from a graph, we look at the x-values (for the domain) and the y-values (for the range) represented by the points on the graph.
**Domain:**
The domain is the set of all possible x-values. Based on the provided points (-25, -24) and (0, 20), if the graph extends to these x-values and possibly beyond, we can make some conclusions. However, without more information on the graph itself, we can only determine the minimum and maximum values from the points given. If there are no other x-values that the graph covers, the domain would be:
-25 ≤ x ≤ 0
So, the domain is:
\[ \text{Domain: } [-25, 0] \]
**Range:**
The range is the set of all possible y-values. From the given points, we see:
- The y-value at (-25) is -24.
- The y-value at (0) is 20.
If the function behaves normally (e.g., it's continuous or piecewise defined), we can infer that the y-values vary between -24 and 20. Therefore, the range would be:
-24 ≤ y ≤ 20
So, the range is:
\[ \text{Range: } [-24, 20] \]
In summary:
- **Domain:** [-25, 0]
- **Range:** [-24, 20]
Please adjust these conclusions based on any additional features of the graph, like endpoints or other points that may affect the overall domain or range.
**Domain:**
The domain is the set of all possible x-values. Based on the provided points (-25, -24) and (0, 20), if the graph extends to these x-values and possibly beyond, we can make some conclusions. However, without more information on the graph itself, we can only determine the minimum and maximum values from the points given. If there are no other x-values that the graph covers, the domain would be:
-25 ≤ x ≤ 0
So, the domain is:
\[ \text{Domain: } [-25, 0] \]
**Range:**
The range is the set of all possible y-values. From the given points, we see:
- The y-value at (-25) is -24.
- The y-value at (0) is 20.
If the function behaves normally (e.g., it's continuous or piecewise defined), we can infer that the y-values vary between -24 and 20. Therefore, the range would be:
-24 ≤ y ≤ 20
So, the range is:
\[ \text{Range: } [-24, 20] \]
In summary:
- **Domain:** [-25, 0]
- **Range:** [-24, 20]
Please adjust these conclusions based on any additional features of the graph, like endpoints or other points that may affect the overall domain or range.