Pregunta
What are the domain and range of this function \[ \begin{array}{l}(4,3) \\ (-10,9) \\ (0,10) \\ (-7,-5)\end{array} \]
Ask by Page Garza. in Mexico
Mar 07,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
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Domain: {4, -10, 0, -7}
Range: {3, 9, 10, -5}
Solución
To determine the domain and range of the given function represented by the set of points, we will follow these steps:
1. **Identify the Domain**: The domain consists of all the first elements (x-coordinates) of the ordered pairs.
2. **Identify the Range**: The range consists of all the second elements (y-coordinates) of the ordered pairs.
Let's extract the coordinates from the given points:
- (4, 3)
- (-10, 9)
- (0, 10)
- (-7, -5)
### Step 1: Find the Domain
The x-coordinates are:
- 4
- -10
- 0
- -7
Thus, the domain is:
\[
\text{Domain} = \{4, -10, 0, -7\}
\]
### Step 2: Find the Range
The y-coordinates are:
- 3
- 9
- 10
- -5
Thus, the range is:
\[
\text{Range} = \{3, 9, 10, -5\}
\]
### Final Answer
- **Domain**: \(\{4, -10, 0, -7\}\)
- **Range**: \(\{3, 9, 10, -5\}\)
Respondido por UpStudy AI y revisado por un tutor profesional
Como
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Bonus Knowledge
The domain of this function consists of all the first elements (x-values) from each ordered pair. So, the domain is \(\{-10, -7, 0, 4\}\). The range is made up of all the second elements (y-values) from the ordered pairs. Thus, the range is \(\{-5, 3, 9, 10\}\). In summary, for this function, the domain is \(\{-10, -7, 0, 4\}\) and the range is \(\{-5, 3, 9, 10\}\).

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