Question
What are the domain and range of this function \[ \begin{array}{l}(4,3) \\ (-10,9) \\ (0,10) \\ (-7,-5)\end{array} \]
Ask by Fitzgerald Lynch. in Mexico
Mar 07,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
Domain: {4, -10, 0, -7}
Range: {3, 9, 10, -5}
Solution
To determine the domain and range of the given function represented by the set of ordered pairs, we can follow these steps:
1. **Identify the Domain**: The domain consists of all the first elements (x-values) of the ordered pairs.
2. **Identify the Range**: The range consists of all the second elements (y-values) of the ordered pairs.
Let's extract the values from the given pairs:
- The ordered pairs are:
- (4, 3)
- (-10, 9)
- (0, 10)
- (-7, -5)
### Step 1: Find the Domain
The x-values from the ordered pairs are:
- 4
- -10
- 0
- -7
Thus, the domain is:
\[
\text{Domain} = \{4, -10, 0, -7\}
\]
### Step 2: Find the Range
The y-values from the ordered pairs are:
- 3
- 9
- 10
- -5
Thus, the range is:
\[
\text{Range} = \{3, 9, 10, -5\}
\]
### Final Answer
- **Domain**: \(\{4, -10, 0, -7\}\)
- **Range**: \(\{3, 9, 10, -5\}\)
Answered by UpStudy AI and reviewed by a Professional Tutor
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Mind Expander
The domain of the function is the set of all first elements from each ordered pair, which consists of the x-coordinates. So in your case, the domain is \{4, -10, 0, -7\}. The range of the function is the set of all second elements from each ordered pair, which consists of the y-coordinates. Therefore, the range is \{3, 9, 10, -5\}. So, domain \{4, -10, 0, -7\} and range \{3, 9, 10, -5\} are what we’ve got!