Suppose that a function is monotone. Recall that has the Darboux property on a set, if and only if given any, for any,. Let be an interval. Which of the following is true?

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Suppose that a function<br><img src='https://www.fatskills.com/images2/GradExams/DC2CB94B-CD30-48F4-AE4C-2E3DD193794D.png' height='18' width='92'/> is monotone. Recall that<br><img src='https://www.fatskills.com/images2/GradExams/CC0DEDC5-0B06-46A3-A25C-1F5A4BAEFB0B.png' height='18' width='10'/> has the Darboux property on a set<br><img src='https://www.fatskills.com/images2/GradExams/A4EACF6A-D032-476B-B896-F36BCA978426.png' height='15' width='14'/>, if and only if given any<br><img src='https://www.fatskills.com/images2/GradExams/2AB29B5C-FCE3-465D-9B7A-D3A1BBCCB1DF.png' height='16' width='55'/>, for any<br><img src='https://www.fatskills.com/images2/GradExams/CDCE787F-7DD2-4D9D-ADE4-0718F8D0D8E2.png' height='18' width='69'/>,<br><img src='https://www.fatskills.com/images2/GradExams/42EAB1E7-F821-44C9-BF98-208BF3B67404.png' height='20' width='165'/>. Let<br><img src='https://www.fatskills.com/images2/GradExams/54FED67F-7B52-4938-91BC-F3F410767DA9.png' height='20' width='77'/> be an interval. Which of the following is true?