To find the y-intercept of a function, we need to evaluate the function at x = 0. This means we will substitute 0 for x in the equation f(x) = x² + 3x + 5.
So, we calculate:
f(0) = (0)² + 3(0) + 5 = 0 + 0 + 5 = 5.
Thus, the y-intercept of the graph of the function is 5.
This means that the point where the graph intersects the y-axis is (0, 5).