Problem

Complete the table and then graph the function.
\begin{tabular}{|c|l|}
\hline \multicolumn{2}{|c}{$f(x)=5 x$} \\
\hline$x$ & $f(x)$ \\
\hline 0 & \\
\hline 1 & \\
\hline 2 & \\
\hline
\end{tabular}

Click to select points on the graph.

Answer

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Answer

And the graph of the function \(f(x)=5x\) is a straight line passing through the points (0,0), (1,5), and (2,10).

Steps

Step 1 :The question is asking to complete the table for the function \(f(x)=5x\) and then graph the function. To complete the table, we need to substitute the given \(x\) values into the function and calculate the corresponding \(f(x)\) values. After that, we can plot these points on a graph.

Step 2 :Substitute \(x=0\) into the function: \(f(0)=5*0=0\)

Step 3 :Substitute \(x=1\) into the function: \(f(1)=5*1=5\)

Step 4 :Substitute \(x=2\) into the function: \(f(2)=5*2=10\)

Step 5 :The completed table is: \n\begin{tabular}{|c|l|}\n\hline \multicolumn{2}{|c|}{\(f(x)=5 x\)} \\ \hline\(x\) & \(f(x)\) \\ \hline 0 & 0 \\ \hline 1 & 5 \\ \hline 2 & 10 \\ \hline\n\end{tabular}

Step 6 :And the graph of the function \(f(x)=5x\) is a straight line passing through the points (0,0), (1,5), and (2,10).

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