To identify the y-intercept of the exponential function \( y = 0.5(6)^x \), we evaluate the function at \( x = 0 \).
- Substitute \( x = 0 \) into the function: \[ y = 0.5(6)^0 \]
- Since \( (6)^0 = 1 \): \[ y = 0.5 \times 1 = 0.5 \]
Therefore, the y-intercept of the function \( y = 0.5(6)^x \) is \( 0.5 \).
Final Answer: \( 0.5 \)