SOLUTION: Find the average rate of change for the function between the given values. f(x)= 3/x-2 ; from 4 to 7

Algebra ->  Functions -> SOLUTION: Find the average rate of change for the function between the given values. f(x)= 3/x-2 ; from 4 to 7      Log On


   

Question 1061020: Find the average rate of change for the function between the given values.
f(x)= 3/x-2 ; from 4 to 7
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
I'm assuming the function is f%28x%29=3%2F%28x-2%29


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Plug in x = 4


f%28x%29=3%2F%28x-2%29


f%284%29=3%2F%284-2%29


f%284%29=3%2F2


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Then plug in x = 7


f%28x%29=3%2F%28x-2%29


f%287%29=3%2F%287-2%29


f%287%29=3%2F5


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Then use those values to find the average rate of change M


M+=+%28f%28a%29-f%28b%29%29%2F%28a-b%29


M+=+%28f%284%29-f%287%29%29%2F%284-7%29 Plug in a = 4 and b = 7


M+=+%283%2F2-3%2F5%29%2F%284-7%29 Replace f(4) with 3/2. Replace f(7) with 3/5


M+=+%2815%2F10-6%2F10%29%2F%284-7%29


M+=+%289%2F10%29%2F%28-3%29


M+=+%289%2F10%29%2A%28-1%2F3%29


M+=+%289%2A%28-1%29%29%2F%2810%2A3%29


M+=+%28-9%29%2F%2830%29


M+=+-3%2F10


So the average rate of change is -3%2F10