Can a function have more than one absolute maximum?

MAPLE: Extreme Values of Functions. Example: a function of one variable. Here. f(x) = x3 - 4x2 + x - 3. > readlib(extrema);. > f:= x^3 - 4*x^2 + x - 3;. Aug 29, 2014 ... The extreme value theorem says that for a continuous function on a closed interval there will be a minimum and maximum value. Nov 16, 2022 ... All that we really need to do is get a list of possible absolute extrema, plug these points into our function and then identify the largest and smallest values. Then, for a proper choice of the function σ, the limit is (excluding a degenerate distribution) the survival function of a so-called generalized Pareto ... Value Function · Digital. Topics. Aerospace Systems, Operations and Life Cycle. articleTabsLoadingText. Close Figure Viewer. Browse All FiguresReturn to Figure ... Values of related functions Suppose f is differentiable on (-∞,∞) and assume it has a local extreme value at the point x = 2, where f(2) = 0. If (x,f(x)) ( x , f ( x ) ) is a point where f(x) f ( x ) reaches a relative maximum or minimum, and if the derivative of f f exists at x, x , then the graph ... To find relative extrema, we find the critical points of f and determine which correspond to relative maxima, relative minima, or neither. The Extreme Value Theorem guarantees that a continuous function restricted to a closed interval will always have global maximum minimum values. We would like to use calculus ideas to identify and classify key function behavior, including the location of relative extremes.