<PRE><B>Question 823442</B>
A linear function is given. 
a. Find the average rate of change of the function x=a and x=a+h
b. Show that the average rate of change is the same as the slope of the line 
f(x)= 1/2x+3 
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f(a+h) = (1/2)(a+h)+3 = (1/2)a + (1/2)h + 3
f(a) = (1/2)a + 3
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f(a+h)-f(a) = (1/2)h
------
Average = [f(a+h)-f(a)]/[(a+h)-a] = [(1/2)h]/h = 1/2
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Cheers,
Stan H.
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