To graph the exponential function \( y = 0.5(6)^x \) and identify the y-intercept, let's analyze the function:
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Y-Intercept: The y-intercept of a function occurs where \( x = 0 \).
\[ y = 0.5(6)^0 \]
Since \( (6)^0 = 1 \):
\[ y = 0.5(1) = 0.5 \]
Thus, the y-intercept of the function \( y = 0.5(6)^x \) is \( 0.5 \).
So the correct response is:
0.5.