To fill in the table using the function \( f(x) = 2 - 5x \), we will calculate \( f(x) \) for each value of \( x \) provided:
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For \( x = -2 \): \[ f(-2) = 2 - 5(-2) = 2 + 10 = 12 \]
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For \( x = -1 \): \[ f(-1) = 2 - 5(-1) = 2 + 5 = 7 \]
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For \( x = 0 \): \[ f(0) = 2 - 5(0) = 2 - 0 = 2 \]
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For \( x = 1 \): \[ f(1) = 2 - 5(1) = 2 - 5 = -3 \]
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For \( x = 2 \): \[ f(2) = 2 - 5(2) = 2 - 10 = -8 \]
Now we can fill in the table:
\[ \begin{array}{|c|c|} \hline x & f(x) \ \hline -2 & 12 \ -1 & 7 \ 0 & 2 \ 1 & -3 \ 2 & -8 \ \hline \end{array} \]