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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

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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**: \(\{3, 9, 10, -5\}\)

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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!

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