How do you find the average rate of change for the function $y = 3x^2 -2x +1$ on the indicated intervals [-1,1]?

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Answer 1 · 2015-09-27T00:19:46

The average rate of change of $y$ with respect to $x$ is $(Deltay)/(Deltax)$

$x_1 = -1$ so $y_1 = 3(-1)^2-2(-1)+1 = 6$

$x_2 = 1$ so $y_2 = 3(1)^2-2(1)+1 = 2$

The average rate of change is

$(Deltay)/(Deltax) = (y_2-y_1)/(x_2-x_1) = (6-2)/(1-(-1)) = 4/2=2$

The average rate of change is $2$ ( $y$ 's per $x$ ).

How do you find the average rate of change for the function y = 3x^2 -2x +1 y = 3x^2 -2x +1 on the indicated intervals [-1,1]?