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Answer:
- 1
Step-by-step explanation:
The average rate of change of g(x) in the close interval [ a, b ] is
[tex]\frac{g(b)-g(a)}{b-a}[/tex]
Here [ a, b ] = [ 3, 6 ] , then
g(b) = g(6) = 6² - 10(6) + 19 = 36 - 60 + 19 = - 5
g(a) = g(3) = 3² - 10(3) + 19 = 9 - 30 + 19 = - 2
average rate of change = [tex]\frac{-5-(-2)}{6-3}[/tex] = [tex]\frac{-5+2}{3}[/tex] = [tex]\frac{-3}{3}[/tex] = - 1