Answer:
35
Step-by-step explanation:
Given the function f in terms of r:
[tex]f(r) = (r-5)(r+1)(r-7)[/tex]
we are asked to solve for the f-intercept.
This is similar to the y-intercept of a function that is y in terms of x:
y = f(x)
which we know happens when x = 0.
So, the f-intercept of the given function will happen when r = 0:
[tex]f(0) = (0-5)(0+1)(0-7)[/tex]
[tex]f(0) = (-5)(1)(-7)[/tex]
[tex]\boxed{f(0) = 35}[/tex]
So, the f-intercept of the function is 35.
