Question 1012242
f(x) = x/abs(x).


f(9) = 9/9 = 1
f(-9) = -9/8 = -1
f(r^2) = r^2/abs(r^2) = 1


for example, if r = -9, then f(r^2) = (-9)^2 / abs((-9)^2) = 81 / abs(81) = 1.


since r^2 is always positive, the solution will always be positive 1.


f(x) = x/abs(x), on the other hand, will carry the sign of x because x can be negative or positive while the absolute value of x is always positive.