April 18th, 2017, 11:36 AM  #1 
Senior Member Joined: Feb 2015 From: london Posts: 121 Thanks: 0  Calculate Supremum of function
f(x) = 12 (x^2  x +0.25), (0 < x < 1) I can plot this function between 0 and 1 in excel and i can see that the supremum are at x,y coords 0,3, and 1,3. Apart from always ploting the function is there any other way I can find the supremum of a function. For example to find mimumum/maximum of function I can differentiate and equate to 0. 
April 18th, 2017, 12:11 PM  #2  
Senior Member Joined: Sep 2015 From: USA Posts: 1,781 Thanks: 919  Quote:
 
April 18th, 2017, 01:10 PM  #3 
Math Team Joined: Dec 2013 From: Colombia Posts: 7,214 Thanks: 2410 Math Focus: Mainly analysis and algebra 
You need to investigate local maxima, discontinuities including vertical asymptotes, and behaviour as $x \to \pm \infty$.

April 19th, 2017, 04:12 AM  #4 
Math Team Joined: Jan 2015 From: Alabama Posts: 2,966 Thanks: 807 
Did you not notice that this is a perfect square? . That has its minimum at, 0, x= 1/2. The maximum must be at one or both of the endpoints. Calculate the value at x= 0 and x= 1. Since this function is only defined between 0 and 1, there is no point is determining "the behavior as ". 
April 20th, 2017, 12:08 PM  #5 
Senior Member Joined: Feb 2015 From: london Posts: 121 Thanks: 0 
Thanks for all the responses


Tags 
calculate, function, supremum 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Calculate area of grade two function using integral?  DecoratorFawn82  Calculus  1  February 22nd, 2017 08:09 AM 
How to calculate P(X>=3Y) having density function  lauchagonzalez  Probability and Statistics  4  June 22nd, 2016 01:43 PM 
How to calculate a curvature of the cubic function.  Mantas  Math  2  March 2nd, 2015 10:31 AM 
infimum, supremum of two argument function in particular set  waytogo  Calculus  2  November 12th, 2010 01:54 PM 
how to calculate the highest slope of a function?  questioner1  Calculus  3  March 27th, 2010 09:09 PM 