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The range of the function $g(x) = \frac{2}{2+4x^2}$ can be written as an interval $(a,b]$. What is $a+b$?

 Nov 10, 2014

Best Answer 

 #1
avatar+130511 
+5

This function is at its max when x = 0......then y = 1, i.e.,  b = 1

As x becomes greater and greater in  both positive and negative diections, the denominator  → ∞ and y → 0 =  a

So the range is (0, 1 ]

Here's the graph......https://www.desmos.com/calculator/piytz9z1ju

 

 Nov 10, 2014
 #1
avatar+130511 
+5
Best Answer

This function is at its max when x = 0......then y = 1, i.e.,  b = 1

As x becomes greater and greater in  both positive and negative diections, the denominator  → ∞ and y → 0 =  a

So the range is (0, 1 ]

Here's the graph......https://www.desmos.com/calculator/piytz9z1ju

 

CPhill Nov 10, 2014

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