Problem

Refer to the relation below to answer the following questions. \[ \{(7,8),(9,9),(-5,-5),(-4,4)\} \] a. Find the domain and range of the relation. The domain of the relation is $\{7,9,-5,-4\}$ The range of the relation is $\{8,9,-5,4\}$. (Use a comma to separate answers as needed) b. Determine the maximum and minimum of the $x$-values and of the $y$-values. The maximum $x$-value is the minimum $x$-value is The maximum $y$-value is the minimum $y$-value is

Solution

Step 1 :The given relation is \(\{(7,8),(9,9),(-5,-5),(-4,4)\}\).

Step 2 :The domain of a relation is the set of all first elements (x-values) in the ordered pairs, and the range is the set of all second elements (y-values).

Step 3 :The domain of the relation is \(\{7,9,-5,-4\}\).

Step 4 :The range of the relation is \(\{8,9,-5,4\}\).

Step 5 :To find the maximum and minimum of the x-values and y-values, we need to find the highest and lowest values in the domain and range, respectively.

Step 6 :The maximum x-value is \(9\), the minimum x-value is \(-5\).

Step 7 :The maximum y-value is \(9\), the minimum y-value is \(-5\).

Step 8 :Final Answer: The maximum x-value is \(\boxed{9}\), the minimum x-value is \(\boxed{-5}\), the maximum y-value is \(\boxed{9}\), and the minimum y-value is \(\boxed{-5}\).

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Source: https://solvelyapp.com/problems/17222/

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