document.write( "Question 823442: A linear function is given.\r
\n" ); document.write( "\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\r
\n" ); document.write( "\n" ); document.write( "f(x)= 1/2x+3\r
\n" ); document.write( "\n" ); document.write( "Please help. I am not very good with these kind of equations.
\n" ); document.write( "

Algebra.Com's Answer #495511 by stanbon(75887)\"\" \"About 
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( "============
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