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November 17th, 2014, 05:06 PM  #1 
Member Joined: Nov 2014 From: SG Posts: 55 Thanks: 1  How do get the range of this function?
Given G: [1,3) > R, g(x) = 5  x^3 The answer to range of this function is (22,4] How to do I get that? 
November 17th, 2014, 05:08 PM  #2 
Math Team Joined: May 2013 From: The Astral plane Posts: 2,304 Thanks: 961 Math Focus: Wibbly wobbly timeywimey stuff.  
November 17th, 2014, 05:30 PM  #3 
Member Joined: Nov 2014 From: SG Posts: 55 Thanks: 1  [URL=https://imageshack.com/i/p8LIA6cPp] This is the graph for the function. The Question said that G has a domain from 1 to 3 as given from G: [1,3) so the value I can get is 1 and 2. I try subbing this value to the function but it doesnt get the answer as the book. I tried this method before and it works for another question. I am not really not sure how to go about doing this question 
November 17th, 2014, 06:22 PM  #4 
Global Moderator Joined: Oct 2008 From: London, Ontario, Canada  The Forest City Posts: 7,968 Thanks: 1152 Math Focus: Elementary mathematics and beyond 
g(x) = 5  xÂ³, g'(x) = 3xÂ², so g(x) is strictly decreasing over [1, 3). That means we can take the range as (g(3), g(1)] = (22, 4].
Last edited by greg1313; November 17th, 2014 at 06:28 PM. 

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