Original
Let {{MATH_34}} be the slope of the secant line through the points {{MATH_35}} and {{MATH_36}} (see figure above). Select the correct statement.
{{CMD_37}}
{{CMD_38}}{{MATH_39}}{{CMD_40}}
{{CMD_41}}{{MATH_42}}{{CMD_43}}
{{CMD_44}}{{MATH_45}}{{CMD_46}}
{{CMD_47}}{{MATH_48}}{{CMD_49}}
{{CMD_50}}{{MATH_51}}{{CMD_52}}
{{CMD_53}}{{MATH_54}}{{CMD_55}}
{{CMD_56}}{{MATH_57}}{{CMD_58}}
{{CMD_59}}{{MATH_60}}{{CMD_61}}
{{CMD_62}}{{MATH_63}}{{CMD_64}}
{{CMD_65}}{{MATH_66}}{{CMD_67}}
{{CMD_68}}
{{CMD_69}}
{{CMD_70}}
Complete the statement below regarding the function {{MATH_71}} on the interval {{MATH_72}}.
Select all correct choices.
(Note, {{MATH_73}}, the slope of the secant line through the points {{MATH_74}} and {{MATH_75}}, was computed in the previous exercise.)
STATEMENT:
The Mean value theorem guarantees that there exists a point {{MATH_76}} in the open interval {{MATH_77}} such that
{{CMD_78}}
{{CMD_79}}{{MATH_80}}{{CMD_81}}
{{CMD_82}}{{MATH_83}}{{CMD_84}}
{{CMD_85}}{{MATH_86}}{{CMD_87}}
{{CMD_88}}{{MATH_89}}{{CMD_90}}
{{CMD_91}}{{MATH_92}}{{CMD_93}}
{{CMD_94}}{{MATH_95}}{{CMD_96}}
{{CMD_97}}{{MATH_98}}{{CMD_99}}
{{CMD_100}}{{MATH_101}}{{CMD_102}}
{{CMD_103}}{{MATH_104}}{{CMD_105}}
{{CMD_106}}{{MATH_107}}{{CMD_108}}
{{CMD_109}}
{{CMD_110}}