This is a $2$ -page document! $\newline$ Identify the domain and range, then represent the relation as a table, mapping, and graph. $\newline$ $1$ . $\{(-5,4),(-4,-1),(-2,1),(0,4),(1,3)\}$ $\newline$ Domain: $\newline$ Range: $\newline$ \begin{tabular}{|l|l|} $\newline$ \hline $\boldsymbol{x}$ & $\boldsymbol{y}$ \\ $\newline$ \hline & \\ $\newline$ \hline & \\ $\newline$ \hline & \\ $\newline$ \hline & \\ $\newline$ \hline & \\ $\newline$ \hline $\newline$ \end{tabular}

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Math Problems

Algebra 1

Write variable expressions for geometric sequences

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Identify the domain and range, then represent the relation as a table, mapping, and graph.

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\{(-5,4),(-4,-1),(-2,1),(0,4),(1,3)\}

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Domain:

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Range:

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Define Domain: The domain of a function or relation is the set of all possible $x$ -values which can be used as inputs. To find the domain, we list all the unique $x$ -values from the given set of ordered pairs.
Find Domain: The given set of ordered pairs is $\{(-5,4),(-4,-1),(-2,1),(0,4),(1,3)\}$ . The $x$ -values are $-5$ , $-4$ , $-2$ , $0$ , and $1$ . Therefore, the domain is $\{-5, -4, -2, 0, 1\}$ .
Define Range: The range of a function or relation is the set of all possible $y$ -values which can come out as outputs. To find the range, we list all the unique $y$ -values from the given set of ordered pairs.
Find Range: The $y$ -values in the given set of ordered pairs are $4, -1, 1, 4,$ and $3$ . The unique $y$ -values are $4, -1, 1,$ and $3$ . Therefore, the range is $\{-1, 1, 3, 4\}$ .
Create Table: To represent the relation as a table, we list the $x$ -values in one column and the corresponding $y$ -values in another column.
Create Mapping: The table representation of the relation is as follows: $\newline$ $x$ | $y$ $\newline$ ----- $\newline$ $-5$ | $4$ $\newline$ $-4$ | $-1$ $\newline$ $-2$ | $1$ $\newline$ $0$ | $4$ $\newline$ $1$ | $y$ $1$
Graph Relation: To represent the relation as a mapping, we draw arrows from each element in the domain to its corresponding element in the range.
Graph Relation: To represent the relation as a mapping, we draw arrows from each element in the domain to its corresponding element in the range.The mapping representation of the relation is as follows: $\newline$ $-5 \rightarrow 4$ $\newline$ $-4 \rightarrow -1$ $\newline$ $-2 \rightarrow 1$ $\newline$ $0 \rightarrow 4$ $\newline$ $1 \rightarrow 3$
Graph Relation: To represent the relation as a mapping, we draw arrows from each element in the domain to its corresponding element in the range.The mapping representation of the relation is as follows: $\newline$ $-5 \rightarrow 4$ $\newline$ $-4 \rightarrow -1$ $\newline$ $-2 \rightarrow 1$ $\newline$ $0 \rightarrow 4$ $\newline$ $1 \rightarrow 3$ To graph the relation, we plot each ordered pair on a coordinate plane.
Graph Relation: To represent the relation as a mapping, we draw arrows from each element in the domain to its corresponding element in the range.The mapping representation of the relation is as follows: $\newline$ $-5 \rightarrow 4$ $\newline$ $-4 \rightarrow -1$ $\newline$ $-2 \rightarrow 1$ $\newline$ $0 \rightarrow 4$ $\newline$ $1 \rightarrow 3$ To graph the relation, we plot each ordered pair on a coordinate plane.The graph of the relation would show the points $(-5,4$ , $-4,-1$ , $-2,1$ , $0,4$ , and $1,3$ ) plotted on the coordinate plane.