Posted by Kjd on Thursday, May 17, 2012 at 7:09pm.
h(-3) = 9 - 9 + 2 = 2
h(g) = g^2 + 3g + 2
average rate of change = (g^2 + 3g + 2 = 2)/(g+3)
= (g^2 + 3g)/(g+3)
= -1
g^2 + 3g = -g - 3
g^2 + 4g + 3 = 0
(g+1)(g+4) = 0
g= -1 or g = -4
but -3≤x≤-4 is not a valid interval
so g = -1
checking:
if g = -1
f(-1) = 0 and avg rate = (0-2)/(-1+3) = -1
if g=-4
g(-4) = 6, and avag rate = (6-2)/(-4+3) = -4 ≠ -1
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