|April 18th, 2017, 11:36 AM||#1|
Joined: Feb 2015
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 co-ords 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|
Joined: Sep 2015
|April 18th, 2017, 01:10 PM||#3|
Joined: Dec 2013
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|
Joined: Jan 2015
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 ".
|calculate, function, supremum|
|Thread||Thread Starter||Forum||Replies||Last Post|
|Calculate area of grade two function using integral?||DecoratorFawn82||Calculus||1||February 22nd, 2017 09:09 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 11:31 AM|
|infimum, supremum of two argument function in particular set||waytogo||Calculus||2||November 12th, 2010 02:54 PM|
|how to calculate the highest slope of a function?||questioner1||Calculus||3||March 27th, 2010 09:09 PM|