To graph the exponential function \( y = 0.5(6)^x \), we can analyze a few key points, including the y-intercept.
Finding the y-intercept
The y-intercept occurs where \( x = 0 \). We can find the y-intercept by plugging \( x = 0 \) into the function:
\[ y = 0.5(6)^0 \]
Since \( 6^0 = 1 \):
\[ y = 0.5 \cdot 1 = 0.5 \]
Conclusion
The y-intercept of the function \( y = 0.5(6)^x \) is \( 0.5 \).
Thus, the correct response is:
0.5