SOLUTION: find the average rate of change for the funchtion f(x)=3x^2 on the interval [-3,3]

Algebra.Com
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)   (Show Source): You can put this solution on YOUR website!
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


-------------------------------------------------------------------------


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

RELATED QUESTIONS

Find the average rate of change for the function. ​f(x)=1/x-3 between x=-4 and x=2 (answered by Alan3354)
Find the average rate of change of F(x)=3x^3-2x^2-3 from x=-1 to x=2 (answered by Alan3354)
how do i find the average rate of change on the interval specidied for the real number h... (answered by josgarithmetic)
Find the average rate of change of f(x)=-x^3+3x^2 from x=-1 to... (answered by MathLover1)
Find the average rate of change of f (x)= =-3x^2 from x=—3 to... (answered by Alan3354,Theo,ikleyn)
what is the average rate of change of the function f(x)=2x^3+x^2+4 on the interval... (answered by Alan3354)
What is the average rate of change of the function g(x)=3-2/3x on the interval -2 ≤ x... (answered by Alan3354)
Find the average rate of change for f(x)= -2x^2 + 5x - 2 on [-1, 1] (answered by MathLover1)
how would you find the average rate of change for... (answered by Alan3354)