SOLUTION: find the average rate of change for the funchtion f(x)=3x^2 on the interval [-3,3]
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Question 865156
:
find the average rate of change for the funchtion f(x)=3x^2 on the interval [-3,3]
Answer by
jim_thompson5910(35256)
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f(x) = 3x^2
f(-3) = 3(-3)^2
f(-3) = 3(9)
f(-3) = 27
f(x) = 3x^2
f(3) = 3(3)^2
f(3) = 3(9)
f(3) = 27
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Average Rate of Change = (f(b) - f(a))/(b-a)
Average Rate of Change = (f(3) - f(-3))/(3-(-3))
Average Rate of Change = (27-27)/(3-(-3))
Average Rate of Change = (27-27)/(3+3)
Average Rate of Change = 0/6
Average Rate of Change = 0
So the final answer is
0