To analyze the exponential function \( y = 0.5(6)^x \), we can identify the y-intercept by evaluating the function when \( x = 0 \):
\[ y = 0.5(6)^0 \]
Since anything raised to the power of 0 is 1:
\[ y = 0.5 \cdot 1 = 0.5 \]
Thus, the y-intercept of the function is \( 0.5 \).
So the correct response is:
0.5