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 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) non-decreasing (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 non-decreasing: 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
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Re: Help with Providing examples

Quote:
 Originally Posted by gckc123 non-decreasing: f(x) = x non constant: f(x) = x non increasing: f(x) = -x Justificaiton (Hints): Take the derivative Cheers
Sorry, I forget to clarify that this is only one example that satisfies all of the conditions, I have an example as f( x ) = { 1, x<0 or x, x >= 0 this function constant on the left side of the axis, and increase on the right side of the x axis, but I dont know how to prove it.

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