Question:
Find the average rate of change of the function from x=1 to x=2. f(x)=−6/x^2
Posted By Admin @ September 03, 2022
Find the average rate of change of the function from x=1 to x=2. f(x)=−6/x^2
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!