document.write( "Question 105591: Can you please take the time to help me solve this problem: Give an example for f(x), if f(x) is an increasing function between 2 and 3.\r
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Algebra.Com's Answer #76846 by MathLover1(20850) $\"\"$ $\"About$

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definition: \r
\n" ); document.write( "\n" ); document.write( "We say a function f is $\"increasing\"$ on an interval $\"I\"$ if for $\"all\"$ $\"x\"$ and $\"y\"$ in $\"I\"$ ,
\n" ); document.write( " $\"x+%3C+y\"$ implies $\"f+%28x%29+%3C+f+%28y%29\"$ . \r
\n" ); document.write( "\n" ); document.write( "We say f is $\"decreasing\"$ on an interval $\"I\"$ if for $\"all\"$ $\"x\"$ and $\"y\"$ in $\"I\"$ ,
\n" ); document.write( " $\"x+%3C+y\"$ implies $\"f+%28x%29+%3E+f+%28y%29\"$ .\r
\n" ); document.write( "\n" ); document.write( "Example:
\n" ); document.write( " $\"f+%28x%29+=+x%5E2\"$
\n" ); document.write( "is $\"decreasing+\"$ on (−∞, 0] and $\"increasing\"$ on [0, ∞).\r
\n" ); document.write( "\n" ); document.write( "If this function is $\"increasing\"$ on [0, ∞), it is $\"increasing\"$ between $\"2\"$ and $\"3\"$ . \n" ); document.write( "

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