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​Approximate the Critical Numbers of the Function Shown in the Graph

Question 361

Multiple Choice

​Approximate the critical numbers of the function shown in the graph and determine whether the function has a relative maximum,a relative minimum,an absolute maximum,an absolute minimum,or none of these at each critical number on the interval shown. ​ ​Approximate the critical numbers of the function shown in the graph and determine whether the function has a relative maximum,a relative minimum,an absolute maximum,an absolute minimum,or none of these at each critical number on the interval shown. ​   ​ A)  ​The critical number ​​   yields an absolute minimum and the critical number   yields an absolute maximum. B)  ​The critical number   yields an absolute maximum and the critical number   yields an absolute minimum. C)  ​Both the critical numbers   &   yield an absolute minimum. D)  ​Both the critical numbers   and   yield an absolute maximum. E)  ​Both the critical numbers   &   yield a relative minimum. ​


A) ​The critical number ​​ ​Approximate the critical numbers of the function shown in the graph and determine whether the function has a relative maximum,a relative minimum,an absolute maximum,an absolute minimum,or none of these at each critical number on the interval shown. ​   ​ A)  ​The critical number ​​   yields an absolute minimum and the critical number   yields an absolute maximum. B)  ​The critical number   yields an absolute maximum and the critical number   yields an absolute minimum. C)  ​Both the critical numbers   &   yield an absolute minimum. D)  ​Both the critical numbers   and   yield an absolute maximum. E)  ​Both the critical numbers   &   yield a relative minimum. yields an absolute minimum and the critical number ​Approximate the critical numbers of the function shown in the graph and determine whether the function has a relative maximum,a relative minimum,an absolute maximum,an absolute minimum,or none of these at each critical number on the interval shown. ​   ​ A)  ​The critical number ​​   yields an absolute minimum and the critical number   yields an absolute maximum. B)  ​The critical number   yields an absolute maximum and the critical number   yields an absolute minimum. C)  ​Both the critical numbers   &   yield an absolute minimum. D)  ​Both the critical numbers   and   yield an absolute maximum. E)  ​Both the critical numbers   &   yield a relative minimum. yields an absolute maximum.
B) ​The critical number ​Approximate the critical numbers of the function shown in the graph and determine whether the function has a relative maximum,a relative minimum,an absolute maximum,an absolute minimum,or none of these at each critical number on the interval shown. ​   ​ A)  ​The critical number ​​   yields an absolute minimum and the critical number   yields an absolute maximum. B)  ​The critical number   yields an absolute maximum and the critical number   yields an absolute minimum. C)  ​Both the critical numbers   &   yield an absolute minimum. D)  ​Both the critical numbers   and   yield an absolute maximum. E)  ​Both the critical numbers   &   yield a relative minimum. yields an absolute maximum and the critical number ​Approximate the critical numbers of the function shown in the graph and determine whether the function has a relative maximum,a relative minimum,an absolute maximum,an absolute minimum,or none of these at each critical number on the interval shown. ​   ​ A)  ​The critical number ​​   yields an absolute minimum and the critical number   yields an absolute maximum. B)  ​The critical number   yields an absolute maximum and the critical number   yields an absolute minimum. C)  ​Both the critical numbers   &   yield an absolute minimum. D)  ​Both the critical numbers   and   yield an absolute maximum. E)  ​Both the critical numbers   &   yield a relative minimum. yields an absolute minimum.
C) ​Both the critical numbers ​Approximate the critical numbers of the function shown in the graph and determine whether the function has a relative maximum,a relative minimum,an absolute maximum,an absolute minimum,or none of these at each critical number on the interval shown. ​   ​ A)  ​The critical number ​​   yields an absolute minimum and the critical number   yields an absolute maximum. B)  ​The critical number   yields an absolute maximum and the critical number   yields an absolute minimum. C)  ​Both the critical numbers   &   yield an absolute minimum. D)  ​Both the critical numbers   and   yield an absolute maximum. E)  ​Both the critical numbers   &   yield a relative minimum. & ​Approximate the critical numbers of the function shown in the graph and determine whether the function has a relative maximum,a relative minimum,an absolute maximum,an absolute minimum,or none of these at each critical number on the interval shown. ​   ​ A)  ​The critical number ​​   yields an absolute minimum and the critical number   yields an absolute maximum. B)  ​The critical number   yields an absolute maximum and the critical number   yields an absolute minimum. C)  ​Both the critical numbers   &   yield an absolute minimum. D)  ​Both the critical numbers   and   yield an absolute maximum. E)  ​Both the critical numbers   &   yield a relative minimum. yield an absolute minimum.
D) ​Both the critical numbers ​Approximate the critical numbers of the function shown in the graph and determine whether the function has a relative maximum,a relative minimum,an absolute maximum,an absolute minimum,or none of these at each critical number on the interval shown. ​   ​ A)  ​The critical number ​​   yields an absolute minimum and the critical number   yields an absolute maximum. B)  ​The critical number   yields an absolute maximum and the critical number   yields an absolute minimum. C)  ​Both the critical numbers   &   yield an absolute minimum. D)  ​Both the critical numbers   and   yield an absolute maximum. E)  ​Both the critical numbers   &   yield a relative minimum. and ​Approximate the critical numbers of the function shown in the graph and determine whether the function has a relative maximum,a relative minimum,an absolute maximum,an absolute minimum,or none of these at each critical number on the interval shown. ​   ​ A)  ​The critical number ​​   yields an absolute minimum and the critical number   yields an absolute maximum. B)  ​The critical number   yields an absolute maximum and the critical number   yields an absolute minimum. C)  ​Both the critical numbers   &   yield an absolute minimum. D)  ​Both the critical numbers   and   yield an absolute maximum. E)  ​Both the critical numbers   &   yield a relative minimum. yield an absolute maximum.
E) ​Both the critical numbers ​Approximate the critical numbers of the function shown in the graph and determine whether the function has a relative maximum,a relative minimum,an absolute maximum,an absolute minimum,or none of these at each critical number on the interval shown. ​   ​ A)  ​The critical number ​​   yields an absolute minimum and the critical number   yields an absolute maximum. B)  ​The critical number   yields an absolute maximum and the critical number   yields an absolute minimum. C)  ​Both the critical numbers   &   yield an absolute minimum. D)  ​Both the critical numbers   and   yield an absolute maximum. E)  ​Both the critical numbers   &   yield a relative minimum. & ​Approximate the critical numbers of the function shown in the graph and determine whether the function has a relative maximum,a relative minimum,an absolute maximum,an absolute minimum,or none of these at each critical number on the interval shown. ​   ​ A)  ​The critical number ​​   yields an absolute minimum and the critical number   yields an absolute maximum. B)  ​The critical number   yields an absolute maximum and the critical number   yields an absolute minimum. C)  ​Both the critical numbers   &   yield an absolute minimum. D)  ​Both the critical numbers   and   yield an absolute maximum. E)  ​Both the critical numbers   &   yield a relative minimum. yield a relative minimum.

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