Use the sign diagram for to determine x-values at which relative maxima occur, where and .
B)
C) And
E)no relative maxima

Question

Use the sign diagram for  to determine x-values at which relative maxima occur, where  and  . 
B)​ 
C) And 
E)no relative maxima

Quizplus · Accepted Answer

From the sign diagram, we can see that there is a change in sign from negative to positive at 11eb0d3b_9859_904c_9790_bf67fffb5fa4_TB1243_11, indicating a relative minimum. Similarly, there is a change in sign from positive to negative at 11eb0d3b_9859_904d_9790_1d36b56f8135_TB1243_11, indicating another relative minimum.
Since there is no change in sign around 11eb0d3b_9859_904b_9790_2986595fb1f9_TB1243_11, the function does not have any relative minima at this value.
Finally, we can see that there is a change in sign from negative to positive at 11eb0d3b_9859_9050_9790_f3a8c2f8c369_TB1243_11, indicating a relative maximum. Therefore, the best choice is B.

Use the Sign Diagram for to Determine X-Values at Which