document.write( "Question 1026259: Determine the maximum function value for the function f(x)=2x/(x+2) on the interval [-1,2].\r
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Algebra.Com's Answer #641491 by robertb(5830) $\"\"$ $\"About$

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$\"y+=+%282x%29%2F%28x%2B2%29\"$ ==> y'= $\"4%2F%28x%2B2%29%5E2\"$ .\r
\n" ); document.write( "\n" ); document.write( "This function is not differentiable at -2, which is safely outside [-1,2], but will always have a positive derivative whenever it exists. The function is increasing over ( $\"-infinity\"$ ,-2) and (-2, $\"infinity\"$ ). Thus the maximum value of the function over [-1,2] exists at the endpoint x = 2, with function value $\"f%282%29+=+%282%2A2%29%2F%282%2B2%29+=+1\"$ . \n" ); document.write( "

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