document.write( "Question 823442: A linear function is given.\r
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document.write( "a. Find the average rate of change of the function x=a and x=a+h
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document.write( "b. Show that the average rate of change is the same as the slope of the line\r
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document.write( "f(x)= 1/2x+3\r
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document.write( "Please help. I am not very good with these kind of equations. \n" );
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Algebra.Com's Answer #495511 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A linear function is given. \n" ); document.write( "a. Find the average rate of change of the function x=a and x=a+h \n" ); document.write( "b. Show that the average rate of change is the same as the slope of the line \n" ); document.write( "f(x)= 1/2x+3 \n" ); document.write( "------- \n" ); document.write( "f(a+h) = (1/2)(a+h)+3 = (1/2)a + (1/2)h + 3 \n" ); document.write( "f(a) = (1/2)a + 3 \n" ); document.write( "------ \n" ); document.write( "f(a+h)-f(a) = (1/2)h \n" ); document.write( "------ \n" ); document.write( "Average = [f(a+h)-f(a)]/[(a+h)-a] = [(1/2)h]/h = 1/2 \n" ); document.write( "---------------------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "============ \n" ); document.write( " |