We will discuss the Intermediate Value Theorem Links to an external site. in more detail during class. However, here is a warm-up question which will help you prepare for class: Which of the following statements are TRUE?  a) If 𝑓 ( 𝑥 ) is continuous on the interval [ 0 , 5 ] and 𝑓 ( 0 ) = 1 and 𝑓 ( 5 ) = 2 , then the Intermediate Value Theorem says that there is a number 𝑐 in [ 0 , 5 ] such that 𝑓 ( 𝑐 ) = 2 . [ Select ] False True   b) If 𝑓 ( 𝑥 ) is continuous on the interval [ 2 , 4 ]  and 𝑓 ( 2 ) < 0  and 𝑓 ( 4 ) > 0 , then the Intermediate Value Theorem says that 𝑓 ( 3 ) = 0 .  [ Select ] True False   c) If 𝑓 ( 𝑥 ) is any function and 𝑓 ( 𝑎 ) = 4  and 𝑓 ( 𝑏 ) = 6 , then the Intermediate Value Theorem says that there is a number 𝑐 in [ 𝑎 , 𝑏 ]  satisfying 𝑓 ( 𝑐 ) = 5 . [ Select ] True False多重下拉选择题

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