To find the f and n intercepts based on the equation given, which is: f(n) = (n - 5)(n + 3)(n - 7), we have to look at n intercepts (where f(n) = 0) and the f intercept (where n = 0).
n intercepts (x intercept) .
We have to set f(n) = 0, which is (n - 5)(n + 3)(n - 7). Now we have to solve each factor, which will be n = 5, n = -3, and n = 7. That means that n intercepts will be: (-3,0), (5,0), and (7,0).
f intercepts (y intercept)
Set n = 0, it will be f(0)= (0 - 5)(0 + 3)(0 - 7) = (-5)(3)(7) = 105. That means that the f intercept is (0, 105).
So that meants that n intercepts is (-3,0), (5,0), and (7,0), and f intercepts is (0, 105).
