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Reika [66]
3 years ago
15

Describe how to find the average rate of change between x=3 and x=5 for the function f(x)= 3x^3+2

Mathematics
1 answer:
Anastasy [175]3 years ago
5 0

Answer:

We'll use the traditional "slope" formula, evaluating

\frac{f(5) - f(3)}{5-3}

To find f(5), plug in x = 5 to f(x).

3(5)^3 + 2 = 377

Same thing for f(3)

3(3)^3 + 2 = 83

So

\frac{377-83}{5-3} = \frac{294}{2} = 147

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Midpoint=W=W(\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2})=W(x_{3}, y_{3}) \\ \\ where:\\ \ U=U(x_{1}, y_{1}) \ and \ V=V(x_{2}, y_{2}) \\ \\ and: \\ x_{3}=\frac{x_{1}+x_{2}}{2} \\ y_{3}=\frac{y_{1}+y_{2}}{2}

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5

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