How to find average rate of change of a function

Posted By Admin @ September 03, 2022

Question:

Find the average rate of change of the function from x=1 to x=2. f(x)=−6/x^2

Answer:

Answer:

4.5.  

Step-by-step explanation:

f(x) = −6 / x^2

f(1) = -6 / (1)^2 = -6 / 1 = -6.

f(2) = -6 / (2)^2 = -6 / 4 = -3 / 2 = -1.5.

Now, you have two sets of coordinates: (1, -6), and (2, -1.5).

You need to find the slope, which is the average rate of change.

(-1.5 - (-6)) / (2 - 1) = (-1.5 + 6) / 1 = -1.5 + 6 = 4.5

Hope this helps!

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