How do you find the average rate of change of $f(x)=-3x^2+2$ between [0,3]?

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Answer 1 · 2018-05-05T13:14:47

Average rate of change $=-9$

The average rate of change is denoted by this formula

$(f(x_a)-f(x_b))/(a-b)$

Let $a=3$ and $b=0$ ,

$(f(3)-f(0))/(3-0)$

Expand,

$((-3(3)^2+2)-(-3(0)^2+2))/3$

Simplify,

$(-25-2)/3$

Solve,

$-9$

How do you find the average rate of change of f(x)=-3x^2+2f(x)=-3x^2+2 between [0,3]?