A Continuous Function G is Defined on the Cosed Interval 8 6

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continuous function is defined on the closed interval [~8,6]. The graph of 9. shown to the right, consists of three line segments and quarter of circle centered at the point (0,2). Let f be the function given by f(x) fag() dt. Find all values of Xin the interval (-8 , 6) at which has critical point. Classify each critical point as the location of local minimum_ ocal maximum, or neither Justify. (3 Pts) Find f (0). (2 pts) Find lim (2 pts) 4+4r Grphol / Let h be the function defined by h(x) 0) Find h'(2). (2 pts)

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The continuous function h (x) has exactly one critical point: Find the X-values at which the global maximum ad the global minimum occur in the interval 4 <x < 16. h' (8) is undefined_ h' (x) = -[ for.x < 8 and h' (x) = forx > 8, Enter the exact answers The global maximum occurs when The global minimum occurs when x

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in this question that given here. So that is done the the continuous function continuous function. So that is it for fix which has done So exactly one critical point. One critical point. So from this we have to find out here that is the X values. So the X values I've reached that so I've reached that global maximum. Yeah and minimum so occur in the interval. So they're given the interval that is two less than or equal to X. Less than are equal to eight years. So from this we have to find out the X values and the global maximum and minimum here. So now let's come to the answer for this. So that is him. He had the given the from the question so so which is undefined. So from this that it implies here H dash of eggs That is equal to -1 for the X. Less than for and hedge dish of X which is equal to one here. From this five x greater than four. So that is implied H is increasing so Hetchy is increasing from X greater than four And in 2nd case H is decreasing. So then here. So over that given interval so to less than are equal to X less than are equal to four. So less than four. So from this cancer that the function if we'll fix it Which is equal to Mod X -4. So if Daschle fix here That is equal to Mod X -4 divided by X -4. So it's not defined that so it's not defined At when mints here X is equal to four. So from this dash of X is equal to so a batch of eggs Is equal to place one five X greater than four. And if dash of X which is a cultural -1. So when means eggs less than four. So we have to find out the X values from the graph. So this is the draft for the X values from this graph. If the conclusion for this that is implied so it has minimum so X is equality of what and maximum went X is equal to eight. So absolutely from this information, absolute so many moms at Here, X is equal to four and absolute maximum art X is equal to eight. So from this information they said the X values which is given in the question and these are the final answers to this question. Thank you.

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