Question
Find the domain and range of the following function.
points on graph are (0,-3) (1.2,0)
Domain: Response area
Range: Response area
points on graph are (0,-3) (1.2,0)
Domain: Response area
Range: Response area
Answers
GPT-4o mini
To determine the domain and range of the function based on the given points (0, -3) and (1.2, 0), we can analyze the x-coordinates and y-coordinates of these points:
1. **Domain**: The domain of a function consists of all the possible x-values (input values). From the points provided:
- The x-coordinate of the first point is 0.
- The x-coordinate of the second point is 1.2.
Therefore, the domain of the function is the interval from the minimum x-value to the maximum x-value:
- Domain: \([0, 1.2]\)
2. **Range**: The range of a function is the set of all possible y-values (output values). From the points provided:
- The y-coordinate of the first point is -3.
- The y-coordinate of the second point is 0.
Therefore, the range of the function is the interval from the minimum y-value to the maximum y-value:
- Range: \([-3, 0]\)
In conclusion:
- **Domain**: \([0, 1.2]\)
- **Range**: \([-3, 0]\)
1. **Domain**: The domain of a function consists of all the possible x-values (input values). From the points provided:
- The x-coordinate of the first point is 0.
- The x-coordinate of the second point is 1.2.
Therefore, the domain of the function is the interval from the minimum x-value to the maximum x-value:
- Domain: \([0, 1.2]\)
2. **Range**: The range of a function is the set of all possible y-values (output values). From the points provided:
- The y-coordinate of the first point is -3.
- The y-coordinate of the second point is 0.
Therefore, the range of the function is the interval from the minimum y-value to the maximum y-value:
- Range: \([-3, 0]\)
In conclusion:
- **Domain**: \([0, 1.2]\)
- **Range**: \([-3, 0]\)