document.write( "Question 909121: Find the average rate of change of f(x)=x^2-2x. From x1=3 to x2=6 \n" ); document.write( "
Algebra.Com's Answer #551604 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
\"f%28x%29=x%5E2-2x\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"f%283%29=%283%29%5E2-2%283%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"f%283%29=3\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "------------------\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"f%28x%29=x%5E2-2x\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"f%286%29=%286%29%5E2-2%286%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"f%286%29=24\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "------------------\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Let m be the average rate of change from x1 to x2.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"m+=+%28f%28x2%29-f%28x1%29%29%2F%28x2-x1%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"m+=+%28f%286%29-f%283%29%29%2F%286-3%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"m+=+%2824-3%29%2F%286-3%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"m+=+%2821%29%2F%283%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"m+=+7\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The final answer is 7
\n" ); document.write( "
\n" );