The function you've provided, \( f(x) = \frac{1}{2} \cdot (3)^3 \), appears to be a constant function. It does not depend on \( x \), as it evaluates to a specific numerical value.
To compute the value:
\[ f(x) = \frac{1}{2} \cdot 27 = \frac{27}{2} = 13.5 \]
Since this function yields a constant output (13.5) regardless of the input \( x \), the type of function is a constant function.