MATH116 Lecture Notes - Lecture 15: Maxima And Minima
9 Dec 2015
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Monday, november 2 lecture 20 : maximum and minimum values of a function. (refers to section 3. 4 and 4. 4 in your text) 20. 2 example consider the function with domain d = [ 1, 4] whose graph is plotted below. By doing nothing more than just looking at this graph we can, at best, approximate the absolute maximum and minimum. We estimate that f (x) has an absolute maximum at x = 1 where the point (x, f (x) ) = We estimate that f (x) has an absolute minimum at x = 3 where the point (x, f (x) ) = (3, ( 1, 37) is the absolute maximum. We estimate the local maxima at x = 1, x = 1 and x = 4, and local minima at x = 0. Note that the above function will not have an absolute maximum if we consider the and x = 3. whole domain of f(x).
