To find the y-intercept of the function \( f(x) = 9.5(2.6)^x \), we evaluate the function at \( x = 0 \).
The y-intercept occurs where \( x = 0 \):
\[ f(0) = 9.5(2.6)^0 \]
Since any number raised to the power of 0 is 1:
\[ f(0) = 9.5 \times 1 = 9.5 \]
Thus, the value of the y-intercept of the graph of \( f(x) \) is 9.5.