MATH 1610 Study Guide - Midterm Guide: Ellipse, Minimax, Maxima And Minima

• School: Auburn University
• Department: Mathematics
• Course: MATH 1610
• Professor: All

Document Summary

4. 3 how derivatives affect the shape of a graph. The absolute max/min value are also called global max/min values. The max/min value of f are called extreme values of function f. If function f is continuous on a closed interval [ a, b ], then f must have an absolute max and min value. Example: suppose that domain of f = [1, 6]. Suppose that the graph of function f is as below: Points 2/6 are the local/relative max value: let f(x) = on [-2, 2]. The absolute max value of [-2,2] is 4, occurring at x = -2 and x = 2. The absolute min value of [-2, 2] is 0, occurring at x = 0: let () = + on [-2,2]. M is the absolute maximum value and m is the absolute minimum value. Since f(x) is on [-2,2], m and m are the absolute max and min value,