In the function \( f(x) = 3(4)^x \), the term \( (4)^x \) indicates that this is an exponential function. The general form of an exponential function can be expressed as \( f(x) = a(b)^x \), where:
- \( a \) is a constant (in this case, 3),
- \( b \) is the base of the exponential function (in this case, 4).
The growth factor (or common ratio) of the function is the base \( b \), which determines how quickly the function grows as \( x \) increases.
Therefore, for the function \( f(x) = 3(4)^x \), the growth factor (common ratio) is:
\[ \text{Growth factor} = 4 \]
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