Test: Chapter 4 Online Test Time Limit: 03 00 00 Sum Tes This Question: 1 pt Thi

Question

Test: Chapter 4 Online Test Time Limit: 03 00 00 Sum Tes This Question: 1 pt This Test: 25 pts poss Determine from the graph whether the function has any absolute extremse values on la, b a, b? 0 A. The absolute maximum occurs at K-d and the absolute mrmurn occurs at 1-a on la, bl O B. The absolute maximum occurs at x d and there is no absolute minimum on [a, bl C. There is no absolute mainnum and there is no absolute mnnmum on la, bl O D. There is no absolute maximum and the absolute minimum occurs at xaon (a, b

Explanation / Answer

There is a break in the graph. Now, it is clear that the highest point appears at x = d
but that is incorrect because that point is not part of the graph due to the open circle there

Infact, the abs max is at a point slightly below that open circle x = d

But how slightly below is it ?

We cant say, right?

So, there is no absolute maximum on the given region

Now, abs minimum :
Same deal.
Lowest point seemks to ve at x = a
But open circle there, so it is not a valid point on the curve
It is at some point slightly above that x = a point, but how slightly above?
Cant say, right?
So, no abs minimum either

So, option C is the answer

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