November 15th, 2009, 10:58 AM  #1 
Senior Member Joined: Nov 2009 Posts: 169 Thanks: 0  Help with Providing examples
Provide an example of a continuous function f:R>R which satisfies all of the following properties (a) nondecreasing (b) not constant (c) not increasing Be sure to justify your example I have an example as f( x ) = { 1, x<0 or x, x >= 0 with the graph that the function is constant on the left of the x axis, and increasing on the right of the x axis, but I dont know how to prove this 
November 15th, 2009, 01:47 PM  #2 
Member Joined: Oct 2009 Posts: 52 Thanks: 0  Re: Help with Providing examples
nondecreasing: f(x) = x non constant: f(x) = x non increasing: f(x) = x Justificaiton (Hints): Take the derivative Cheers 
November 15th, 2009, 05:53 PM  #3  
Senior Member Joined: Nov 2009 Posts: 169 Thanks: 0  Re: Help with Providing examples Quote:
 

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