Respuesta :

HumanBein

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!

raphealnwobi

The average rate of change of the function from x=1 to x=2 is 4.5

The average rate of change of a function is given by:

Average rate of change = [tex]\frac{f(b)-f(a)}{b-a}[/tex]

Hence, the average rate of change of the function from x=1 to x=2. f(x)=−6/x² is:

f(2) = -6/2² = -1.5

f(1) = -6/1² = -6

[tex]Average\ rate\ of\ change=\frac{f(2)-f(1)}{2-1}=\frac{-1.5-(-6)}{2-1}=4.5[/tex]

Hence the average rate of change of the function from x=1 to x=2 is 4.5

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