SOLUTION: Find the average rate of change. f(x)= the square root of 2x from X1=2 to X2=8 I am so confused can you please show the steps please?

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Question 711793: Find the average rate of change. f(x)= the square root of 2x from X1=2 to X2=8 I am so confused can you please show the steps please?
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


The average rate of change of a function between two points is the same as the slope of the secant line that passes through the two points. The only difference is the notation of the slope formula. You are probably used to seeing the slope formula as:



where and are the coordinates of the given points.

But since you have started working with functions, stop thinking of ordered pairs that represent points in the plane as . Rather, consider them to be represented as . That makes your average rate of change formula look like:



In your particular case, you need to calculate the value of:



John

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