To calculate \( f(v) \) using the function \( f(v) = -9|v + 5| \), we will substitute the values of \( v \) into the function and calculate \( f(v) \) for each value.
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For \( v = -6 \): \[ f(-6) = -9|-6 + 5| = -9|-1| = -9 \times 1 = -9 \]
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For \( v = -5 \): \[ f(-5) = -9|-5 + 5| = -9|0| = -9 \times 0 = 0 \]
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For \( v = -4 \): \[ f(-4) = -9|-4 + 5| = -9|1| = -9 \times 1 = -9 \]
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For \( v = -3 \): \[ f(-3) = -9|-3 + 5| = -9|2| = -9 \times 2 = -18 \]
Now we can create the table:
\[ \begin{array}{|c|c|} \hline v & f(v) \ \hline -6 & -9 \ -5 & 0 \ -4 & -9 \ -3 & -18 \ \hline \end{array} \]