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On the graph of y = (x + 2)^4 - 100, how many points are there whose coordinates are both negative integers?

 Jan 27, 2018

Best Answer 

 #1
avatar+101734 
+2

On the graph of y = (x + 2)^4 - 100, how many points are there whose coordinates are both negative integers?

 

When is y negative?

 

\((x+2)^4-100<0\\ (x+2)^4<100\\ -\sqrt{10}

 

That is 5 points where the coordinates are both negative integers:

 

(-5, -19),  (-4,-84),   (-3,-99),   (-2,-100),  (-1,-99)

 Jan 27, 2018
 #1
avatar+101734 
+2
Best Answer

On the graph of y = (x + 2)^4 - 100, how many points are there whose coordinates are both negative integers?

 

When is y negative?

 

\((x+2)^4-100<0\\ (x+2)^4<100\\ -\sqrt{10}

 

That is 5 points where the coordinates are both negative integers:

 

(-5, -19),  (-4,-84),   (-3,-99),   (-2,-100),  (-1,-99)

Melody Jan 27, 2018

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