I have a problem I've been trying to tackle, with little success. The problem is a) I don't know which numerical method to use and b) since the problem is general (no specific numbers) I'm not sure how my "calculation" is supposed to look - I presume a specific answer can't be found...
The question is: Given three values of the function f(x) near its minimum or maximum (let the values be f(a), f(b) and f(c) ), find the approximate value of x for which the function f has that extreme value.
It confuses me because I'm tempted to use an iterative method to solve this, yet there is nothing to tell me when to 'stop'. It doesn't say when I'm actually sufficiently close to the extreme value.
Any help would be greatly appreciated!
Thanks in advance!