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Below is a portion of the graph of a \(y=h(x)\) function  :


What is the sum of all integers x in the interval shown (\(0\le x\le 8\) ) such that \(h(x)>x\)  ?

tertre  Mar 14, 2017
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 #1
avatar+75277 
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Note that  we really want to know [in integer terms for x ] where the y value of the function is greater than its associated x value....

 

This happens at   (0,4) , (3, 4), (4, 7), (5, ≈ 7.5), (6, 7) and (8, 10)

 

So....the sum of the x values  = 0 + 3 + 4 + 5 + 6 + 8   =   26

 

 

cool cool cool

CPhill  Mar 14, 2017
 #2
avatar+1148 
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Thank you!

tertre  Mar 14, 2017

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