Suppose f(x), g(x), h(x) are all linear functions, and j(x) and k(x) are defined by
j(x) = max{f(x), g(x), h(x)}
k(x) = min{f(x), g(x), h(x)}
This means that, for each x, we define j(x) to be either f(x), g(x), or h(x), whichever is greatest; similarly, k(x) is the least of these 3 values. The graph is
y = j(x) for -3.5 ≤ x ≤ 3.5
Let L be the length of the graph of y = k(x) for -3.5 ≤ x ≤ 3.5
What is the value of \(L^2\)
