5 PM Tue Oct 31 DIL HomeworkGMAT13 X taking any action ain X f. stemble X 'P Course Home X m httpszl/uottawamobii X + 6 C' uottawamobiusclo d Q; a Q Help l Aoeooyin AdeleKel | I ldOIUS uOttawa llr l i. , all in L _ i in. lL,i l, 4 HomeworkGMAT1330 Homewor 6 MAT133O Remaining Time: 1452:4833 Question 1 Which of the following statements is the Extreme Value Theorem? Q If f is a continuous function on R. then f attains a global maximum and a global minimum, 1 point How Did I Do? 0 If f is a function on an interval [(1. bl , then f attains a global maximum and a global minimum. If f attains a local maximum and a local minimum on an interval [(1,1)] , then f is continuous, If f attains a global maximum and a global minimum on an interval [(1,1)] . then f is continuous. If f is a continuous function on any interval of R. then f attains a global maximum and a global minimum. 0000 If f is a continuous function on an interval (1,1)] . then f attains a global maximum and a global minimum. Note: A statement of the form \"if A is true then B is true\" is false if you can come up with even one example where A is true but Bis not true. Such an example is called a counterexample. After you have identified the Extreme Value Theorem from this list. sketch counterexamples to show that in fact. each of the other statements is false (and therefore are not theorems at all)