Problem

Complete the table.
\begin{tabular}{|c|c|}
\hline$f(k)=$ & $-9 k \mid+6$ \\
\hline$k$ & $f(k)$ \\
-2 & \\
\hline 0 & \\
\hline 2 & \\
\hline 4 & \\
\hline
\end{tabular}

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Answer

Final Answer: The completed table is: \begin{tabular}{|c|c|} \hline \(f(k)=\) & \(-9 k \mid+6\) \\ \hline \(k\) & \(f(k)\) \\ -2 & 24\\ \hline 0 & 6\\ \hline 2 & -12\\ \hline 4 & -30\\ \hline \end{tabular}

Steps

Step 1 :The question is asking to fill the table with the values of the function \(f(k) = -9k + 6\) for the given values of \(k\). The function is a linear function, and we can calculate the value of the function for each \(k\) by substituting the value of \(k\) into the function.

Step 2 :For \(k = -2\), the function \(f(k) = -9(-2) + 6 = 24\).

Step 3 :For \(k = 0\), the function \(f(k) = -9(0) + 6 = 6\).

Step 4 :For \(k = 2\), the function \(f(k) = -9(2) + 6 = -12\).

Step 5 :For \(k = 4\), the function \(f(k) = -9(4) + 6 = -30\).

Step 6 :Final Answer: The completed table is: \begin{tabular}{|c|c|} \hline \(f(k)=\) & \(-9 k \mid+6\) \\ \hline \(k\) & \(f(k)\) \\ -2 & 24\\ \hline 0 & 6\\ \hline 2 & -12\\ \hline 4 & -30\\ \hline \end{tabular}

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