To find the y-coordinate of the y-intercept of the polynomial function f(x) = x(4x + 1)(5x-4)(2x - 5), we need to set x = 0 in the function and evaluate the result. This is because the y-intercept occurs when x is equal to zero.
f(0) = 0(4(0) + 1)(5(0) - 4)(2(0) - 5)
f(0) = 0(1)(-4)(-5)
f(0) = 0
Therefore, the y-coordinate of the y-intercept of the function is zero. The y-intercept of the function is the point (0, 0).