To evaluate the function \( f(x) = 3 - 2x \) for different inputs, we can analyze how the function behaves as \( x \) changes.
The function is a linear equation with a negative slope. This means that as \( x \) increases, the output \( f(x) \) will decrease. Therefore, the smallest input value will generate the largest output.
If we evaluate \( f(x) \) for various values of \( x \):
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For \( x = 0 \): \[ f(0) = 3 - 2(0) = 3 \]
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For \( x = 1 \): \[ f(1) = 3 - 2(1) = 3 - 2 = 1 \]
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For \( x = 2 \): \[ f(2) = 3 - 2(2) = 3 - 4 = -1 \]
As we can see from these calculations, the output decreases as \( x \) increases.
Therefore, the input that generates the largest output is \( x = 0 \), which gives the output \( f(0) = 3 \).
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