Question 536554
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The average rate of change of a function between two points is just the slope of the secant line through the two points.


Use the slope function:


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


where *[tex \Large \left(x_1,y_1\right)] and *[tex \Large \left(x_2,y_2\right)] are the coordinates of the given points, although in your case you want to use the points *[tex \Large \left(x_1,f(x_1)\right)] and *[tex \Large \left(x_2,f(x_2)\right)].


Now that you have calculated the slope of the secant line, use that slope and either of the points *[tex \Large \left(x_1,f(x_1)\right)] or *[tex \Large \left(x_2,f(x_2)\right)] to write an equation of the secant line using the point-slope form of an equation of a line:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ y\ -\ y_1\ =\ m(x\ -\ x_1) ]


John
*[tex \LARGE e^{i\pi} + 1 = 0]
My calculator said it, I believe it, that settles it
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