To find \( f(-2) \) for the function \( f(x) = 3x + 8 \), follow these steps:
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Substitute \( -2 \) for \( x \) in the function: \[ f(-2) = 3(-2) + 8 \]
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Calculate \( 3(-2) \): \[ 3(-2) = -6 \]
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Add \( 8 \) to \( -6 \): \[ f(-2) = -6 + 8 \]
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Compute the final result: \[ -6 + 8 = 2 \]
Thus, \[ f(-2) = 2. \]