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The complete graph of \(y=f(x),\) which consists of five line segments, is shown in red below. (On this graph, the distance between grid lines is 1.)

Let a and b be the largest negative integer and the smallest positive integer, respectively, such that the functions \(g(x)=f(x)+ax\) and \(h(x)=f(x)+bx\) are invertible. What is \(a^2+b^2?\)
 

 Jul 10, 2020
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The solution is:

 Jul 10, 2020
 #2
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Thank you!

BillyBobJoeJr  Jul 10, 2020

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