Final answer:
The distance between the y-intercepts of the function is 30 units.
Step-by-step explanation:
The y-intercepts of a function can be found by setting x=0 and solving for y.
In the given function, f(x) = x2 + 7x - 30, we can find the y-intercepts by substituting x=0 into the function:
f(0) = (0)2 + 7(0) - 30
= -30
So, the y-intercept of f(x) is -30 units.
The distance between two points on a line can be found by finding the absolute value of their difference.
In this case, the distance between the y-intercept and the origin (0,0) is |-30 - 0| = 30 units.