Find the x-coordinate(s) of the point(s) where the function {{MATH_137}} has a global minimum. {{CMD_138}} {{MATH_139}} {{CMD_140}} {{CMD_141}} {{CMD_142}} Find the x-coordinate(s) of the point(s) where the function {{MATH_143}} has a global maximum. {{CMD_144}} {{MATH_145}} {{CMD_146}} {{CMD_147}} Sometimes it is important to know whether a function attains a global extremum on its domain. The following theorem, which comes as no surprise after the previous three examples, gives a simple answer to that question. {{CMD_148}}{{CMD_149}}{{CMD_150}} If {{MATH_151}} is continuous on the closed interval {{MATH_152}}, then there are points {{MATH_153}} and {{MATH_154}} in {{MATH_155}}, such that {{MATH_156}} is a global maximum and {{MATH_157}} is a global minimum on {{MATH_158}}.