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 \(L^2\)

Guest Oct 31, 2022