Questions: Use the following input-output table given in the first column. Is the relation a function? If so, match them with their domain and range. Input Output ------ ------ 3 0 6 4 9 0 12 -4 Input Output ------ ------ 2 2 8 6 2 1 10 -6 Input Output ------ ------ 1 2 3 4 5 4 7 6 NOT a function Domain: 1,3,5,7 Range : 2,4,6 Domain : 3,6,9,12 Range : -4,0,4

Use the following input-output table given in the first column. Is the relation a function? If so, match them with their domain and range.

Input   Output
------  ------
3       0
6       4
9       0
12      -4

Input   Output
------  ------
2       2
8       6
2       1
10      -6

Input   Output
------  ------
1       2
3       4
5       4
7       6

NOT a function
Domain: 1,3,5,7
Range : 2,4,6
Domain : 3,6,9,12
Range : -4,0,4
Transcript text: Use the following input-output table given in the first column. Is the relation a function? If so, match them with their domain and range. \begin{tabular}{|c|c|} \hline \multicolumn{2}{|c|}{ Input } \\ \hline 3 & 0 \\ \hline 6 & 4 \\ \hline 9 & 0 \\ \hline 12 & -4 \\ \hline \end{tabular} \begin{tabular}{|c|c|} \hline Input & Output \\ \hline 2 & 2 \\ \hline 8 & 6 \\ \hline 2 & 1 \\ \hline 10 & -6 \\ \hline \end{tabular} \begin{tabular}{|c|c|} \hline Input & Output \\ \hline 1 & 2 \\ \hline 3 & 4 \\ \hline 5 & 4 \\ \hline 7 & 6 \\ \hline \end{tabular} NOT a function Domain: $\{1,3,5,7\}$ Range : $\{2,4,6\}$ Domain : $\{3,6,9,12\}$ Range : $\{-4,0,4\}$
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Solution

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Solution Steps

Step 1: Analyze the first table

The first table represents a function because each input has only one output. The domain is {3, 6, 9, 12} and the range is {-4, 0, 4}.

Step 2: Analyze the second table

The second table does _not_ represent a function because the input '2' has two different outputs: 2 and 1.

Step 3: Analyze the third table

The third table represents a function because each input has only one output. The domain is {1, 3, 5, 7} and the range is {2, 4, 6}.

Final Answer

The first table matches with "Domain: {3, 6, 9, 12} Range: {-4, 0, 4}". The second table matches with "NOT a function". The third table matches with "Domain: {1, 3, 5, 7} Range: {2, 4, 6}".

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