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.

Answer

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Answer

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.

Steps

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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