To complete the table for the function \( f(x) = -x + 9 \), we need to calculate \( f(x) \) for each value of \( x \).
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For \( x = 0 \): \[ f(0) = -0 + 9 = 9 \]
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For \( x = 1 \): \[ f(1) = -1 + 9 = 8 \]
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For \( x = 2 \): \[ f(2) = -2 + 9 = 7 \]
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For \( x = 3 \): \[ f(3) = -3 + 9 = 6 \]
Now, let's fill in the table:
\[ \begin{array}{|c|c|} \hline x & f(x) \ \hline 0 & 9 \ 1 & 8 \ 2 & 7 \ 3 & 6 \ \hline \end{array} \]