Question 197377
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The average rate of change of a function over an interval is the slope of the secant line that contains the points on the graph at the endpoints of the interval.


So, first calculate the value of the function for each of your x values, giving you two ordered pairs that are on the graph.  Then use the slope formula to calculate the slope of the secant line.


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ m = \frac{y_1 - y_2}{x_1 - x_2} ]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 2^0 = 1]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 2^3 = 8]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ m = \frac{1 - 8}{0 - 3} = \frac{7}{3}]


You can do the other one for yourself.



John
*[tex \LARGE e^{i\pi} + 1 = 0]
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