$\mathrm{The~average~rate~} \upsilon ~ \mathrm{of~change~of~the~function~} f(x) ~ \mathrm{over~the~interval~} [x_{1}; \ x_{2}]\\\mathrm{can~be ~ found~on~the~formula \colon}$

$\boxed{\upsilon = \dfrac{\Delta f}{\Delta x} = \dfrac{f(x_{2}) - f(x_{1})}{x_{2} - x_{1}} }$

$\mathrm{For~the~function,} ~ f(x) = x^{3} - x + 4 ~ \mathrm{the~average~rate~of~change~over~the~interval}\\\mathrm{from~0~to~2 \colon}$

$f(0) = 0^{3} -0 + 4 = 4;$

$f(2) = 2^{3} - 2 + 4 = 8 + 2 = 10;$

$\Delta f = 10 - 4 = 6;$

$\Delta x = 2 - 0 = 2.$

$\upsilon = \dfrac{6}{2} = 3.$

$Answer \colon 3~\blacktriangle$

3 0

3 years ago

How can you use the table or graph to make predictions ?

andrew11 [14]

Yes you can with graphs and tables

8 0

3 years ago

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X minus 2 is equal to 7​

X minus 2 is equal to 7