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 9 ; the minimum $x$-value is -5 The maximum $y$-value is 9 ; the minimum $y$-value is -5 c. Choose appropriate scales for the $x$ - and $y$-axes. Select the description of the most appropriate scale for the $x$-and $y$-axes. A. Each tick mark represents 1 unit. B. Each tick mark represents 422.2 units C. Each tick mark represents 9 units.

Solution

Step 1 :The domain of a relation is the set of all possible input values (x-values), while the range is the set of all possible output values (y-values). In this case, the domain is the set of all x-values in the given pairs, and the range is the set of all y-values in the given pairs.

Step 2 :The maximum and minimum of the x-values and y-values can be found by simply identifying the largest and smallest numbers in the domain and range.

Step 3 :Considering the range of values, the most appropriate scale for the x and y axes would be option A. Each tick mark represents 1 unit.

Step 4 :Final Answer: a. The domain of the relation is \(\boxed{\{7,9,-5,-4\}}\) and the range of the relation is \(\boxed{\{8,9,-5,4\}}\). b. The maximum x-value is \(\boxed{9}\) ; the minimum x-value is \(\boxed{-5}\). The maximum y-value is \(\boxed{9}\) ; the minimum y-value is \(\boxed{-5}\). c. Considering the range of values, the most appropriate scale for the x-and y-axes would be option A. Each tick mark represents \(\boxed{1}\) unit.

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Source: https://solvelyapp.com/problems/17224/

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