document.write( "Question 946300: A function is given. Determine the average rate of change of the function between the given values of the variable.
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document.write( "f(x) = 5 − x^2; x = 3, x = 3 + h\r
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document.write( "Please help
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document.write( "Thanks \n" );
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Algebra.Com's Answer #577296 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A function is given. Determine the average rate of change of the function between the given values of the variable. \n" ); document.write( " f(x) = 5 − x^2; x = 3, x+h = 3 + h \n" ); document.write( "-------- \n" ); document.write( "average rate = [f(x+h)-f(x)]/[(x+h)-x] = [f(x+h)-f(x)]/h \n" ); document.write( "----- \n" ); document.write( "= [5 - (3+h)^2]-(5-3^2))]/h \n" ); document.write( "----- \n" ); document.write( "= [5-[9+6h+h^2]--4]/h \n" ); document.write( "----- \n" ); document.write( "= [-4-6h-h^2+4]h \n" ); document.write( "----- \n" ); document.write( "= [-h^2-6h]/h \n" ); document.write( "------ \n" ); document.write( "= -h-6 \n" ); document.write( "--------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "--------------- \n" ); document.write( " |