1. **Problem statement:** We are given the exponential function $$f(x) = 3 \cdot 1.47^x$$ and asked to find the coordinates of the intersection point between the graph of $$f$$ and the y-axis. 2. **Recall the rule for y-axis intersections:** The y-axis corresponds to $$x=0$$. To find the intersection point, substitute $$x=0$$ into the function. 3. **Calculate $$f(0)$$:** $$f(0) = 3 \cdot 1.47^0$$ 4. **Simplify using the rule $$a^0 = 1$$:** $$f(0) = 3 \cdot 1 = 3$$ 5. **Conclusion:** The intersection point with the y-axis is at the coordinate $$(0, 3)$$. This matches the given graph starting point.