Problem

\begin{tabular}{|c|c|}
\hline$f(x)=\mathbf{2 x}-\mathbf{1 0}$ \\
\hline$x$ & $f(x)$ \\
\hline 0 & $\square$ \\
\hline 2 & $\square$ \\
\hline 4 & $\square$ \\
\hline 6 & $\square$ \\
\hline
\end{tabular}

Answer

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Answer

\(\boxed{\text{The values of the function } f(x) \text{ at } x=0, x=2, x=4, \text{ and } x=6 \text{ are } -10, -6, -2, \text{ and } 2 \text{ respectively.}}\)

Steps

Step 1 :The function is given as \(f(x)=2x-10\).

Step 2 :We are asked to find the value of the function at \(x=0\), \(x=2\), \(x=4\), and \(x=6\).

Step 3 :We can find the value of the function at these points by substituting the values of \(x\) into the function.

Step 4 :When \(x=0\), \(f(x)=2*0-10=-10\).

Step 5 :When \(x=2\), \(f(x)=2*2-10=-6\).

Step 6 :When \(x=4\), \(f(x)=2*4-10=-2\).

Step 7 :When \(x=6\), \(f(x)=2*6-10=2\).

Step 8 :So, the completed table is: \begin{tabular}{|c|c|} \hline \(f(x)=2x-10\) \\ \hline \(x\) & \(f(x)\) \\ \hline 0 & -10 \\ \hline 2 & -6 \\ \hline 4 & -2 \\ \hline 6 & 2 \\ \hline \end{tabular}

Step 9 :\(\boxed{\text{The values of the function } f(x) \text{ at } x=0, x=2, x=4, \text{ and } x=6 \text{ are } -10, -6, -2, \text{ and } 2 \text{ respectively.}}\)

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