Math  /  Calculus

QuestionFinding the average rate of change of a function
Find the average rate of change of f(x)=2x32x23f(x)=2 x^{3}-2 x^{2}-3 from x=2x=2 to x=3x=3. Simplify your answer as much as possible.

Studdy Solution
Compute the average rate of change using the formula f(b)f(a)ba\frac{f(b) - f(a)}{b - a}.
f(3)f(2)32=281=28 \frac{f(3) - f(2)}{3 - 2} = \frac{28}{1} = 28
The average rate of change of the function f(x)=2x32x23f(x)=2x^3-2x^2-3 from x=2x=2 to x=3x=3 is 2828.

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