If f(x) = k(x - k) and k is a constant, what is the value of f(4) - f(2), in terms of k?

If f(x) = k(x - k) and k is a constant, what is the value of f(4) - f(2), in terms of k?

Quiz

Answer/Solution

2k

Steps/Work

First, distribute f(x). k(x - k) = kx - k^2. Now evaluate f(4) and f(2):
f(4) = k(4) - k^2 = 4k - k^2
f(2) = 2k - k^2
f(4)-f(2)=2k.. Answer C