Since the function {{MATH_69}} does not satisfy the conditions of the Mean value theorem, there is no point {{MATH_70}} in {{MATH_71}} such that {{MATH_72}}. {{CMD_73}} Look at the graph of {{MATH_74}} on an open interval {{MATH_75}}: it is a line of slope {{MATH_76}}. Therefore, for every point {{MATH_77}} in {{MATH_78}} it is true that {{MATH_79}}. This may happen or not happen with functions that do not satisfy the conditions of the Mean value theorem (see graph of {{MATH_80}}). But, if the conditions are satisfied, the Mean value theorem {{CMD_81}}guarantees{{CMD_82}} that such a point {{MATH_83}} exists. {{CMD_84}} {{CMD_85}} {{CMD_86}}True{{CMD_87}} {{CMD_88}}False{{CMD_89}} {{CMD_90}} {{MATH_91}} attains an absolute minimum on {{MATH_92}}. {{CMD_93}} {{CMD_94}}True{{CMD_95}} {{CMD_96}}False{{CMD_97}} {{CMD_98}}