SOLUTION: 3.12 Evaluate the function f(x)= x/|x| at the given values of the independent variable and simplify A. f(9) = B.f(-9)= C.f(r^2)=

Question 1012242: 3.12
Evaluate the function f(x)= x/|x| at the given values of the independent variable and simplify
A. f(9) =
B.f(-9)=
C.f(r^2)=
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
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.

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