document.write( "Question 954473: Someone please help me with this. Find the average rate of f(x)= 1/2x-3 between x=a and a+h \n" ); document.write( "
Algebra.Com's Answer #582938 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Find the average rate of f(x)= 1/2x-3 between x=a and a+h \n" ); document.write( "---- \n" ); document.write( "Average = (change in \"Y\")/(change in \"x\") \n" ); document.write( "-------- \n" ); document.write( "Aver = [f(a+h)-f(a)] /[a+h - a] \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( "Then f(a+h)-f(a) = (1/2)h \n" ); document.write( "----- \n" ); document.write( "Ans: Ave = [(1/2)h]/h = 1/2 \n" ); document.write( "-------------------- \n" ); document.write( "Comment:: Notice that the average is the slope of f(x) \n" ); document.write( "-------------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |