Sketch the graph of the function and locate the absolute extrema of the function on the interval .
A)left endpoint: absolute minimumright endpoint: absolute maximum
B)left endpoint: absolute minimumright endpoint: absolute maximum
C)left endpoint: absolute minimumright endpoint: absolute maximum
D)left endpoint: absolute minimumright endpoint: absolute maximum
E)left endpoint: absolute minimumright endpoint: absolute maximum

Question

Sketch the graph of the function  and locate the absolute extrema of the function on the interval  .
A)left endpoint: absolute minimumright endpoint: absolute maximum 
B)left endpoint: absolute minimumright endpoint: absolute maximum 
C)left endpoint: absolute minimumright endpoint: absolute maximum 
D)left endpoint: absolute minimumright endpoint: absolute maximum 
E)left endpoint: absolute minimumright endpoint: absolute maximum

Quizplus · Accepted Answer

Without knowing the function 11ec1854_fda9_4176_acfc_859ee437fea6_TBX8702_11 or seeing its graph, we can determine that the function has an absolute minimum and an absolute maximum on the given interval. This is because the interval is closed, meaning it includes both its endpoints. By the Extreme Value Theorem, a continuous function on a closed interval must have both an absolute minimum and an absolute maximum on that interval.

Therefore, we just need to choose the option where the left endpoint has an absolute minimum and the right endpoint has an absolute maximum. Option C satisfies this condition.

Sketch the Graph of the Function and Locate the Absolute