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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 \(L^2\)

 Oct 31, 2022
 #1
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The value of L^2 is 40.

 Oct 31, 2022
 #2
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I'm sorry, i did not clarify. Do you think you could show me how you got to that?

Guest Oct 31, 2022

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