Extreme Value Theorem states that a function () which is found to be continuous over a closed interval [, ] is guaranteed to have extreme values in that interval. Given the graph of the function, identify the extrema (both minimum and maximum) of the given graphs below by giving the maximum and minimum point. If there is no extrema, provide an explanation.
A. Maximum: (-2, 3); Minimum (2, 0.5)
B. Maximum: (-2, 3); Minimum (1, -1)
C. Maximum: (2, 3); Minimum (-1, 1)
D. Maximum: (3, -2); Minimum (-1, 1)
Answers & Comments
Extreme Value Theorem states that a function () which is found to be continuous over a closed interval [, ] is guaranteed to have extreme values in that interval. Given the graph of the function, identify the extrema (both minimum and maximum) of the given graphs below by giving the maximum and minimum point. If there is no extrema, provide an explanation.