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avatar+588 

Let  f(x)=−log(4x)+5.

 

What is the average rate of change of f(x) from 3 to 8? 

Round your answer to the nearest hundredth. 

 

  • −11.74
  • −0.09
  • 0.09
  • 11.74
adore.nuk  Feb 7, 2018
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1+0 Answers

 #1
avatar+85623 
+2

We want  to find this :

 

[ -log (4*8)  + 5   -  ( - log(4*3)  + 5) ]  /  [ 8 - 3 ]  =

 

[ - log(4*8)  + log (4*3) ]  /  [ 8 - 3  ] =

 

[ log (12)  - log (32)  ] /  5 =

 

[ using  log a  - log b   =  log (a/b)  ]

 

log ( 12 / 32)  / 5   ≈   -0.085  ≈  -0.09

 

 

cool cool cool

CPhill  Feb 7, 2018

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