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Point) Absolute Extreme Values_Find the absolute maximum and minimum values of the function f(x) on the interval [-5,9]Absolute maximum value:Absolute minimum value...

Question

Point) Absolute Extreme Values_Find the absolute maximum and minimum values of the function f(x) on the interval [-5,9]Absolute maximum value:Absolute minimum value:

point) Absolute Extreme Values_ Find the absolute maximum and minimum values of the function f(x) on the interval [-5,9] Absolute maximum value: Absolute minimum value:



Answers

Find the absolute maximum and minimum values of $f$ on the given closed interval, and state where those values occur. $f(x)=1+\left|9-x^{2}\right| ;[-5,1]$

We have to find the absolute maximum and minimum. So the effect is given. Yeah. Xq minus six. Orchestra xq minus six exist. Script this five. Yeah, and the interval is one of 3.5. Okay, so if this flexibility three X squared minus 12 X equals to zero. That's it. So it will be X minus four. Request to zero X to close to zero and four. The value of the function. It is your ability. Five. The value of the function at four will be. It will be for for costume. Honest 27 had the and we will also part of the functional value of the function of the inquiry. F minus three will be 76 and ever if I will be one is 20 half of monasteries will be minus or 76 minus of 76 f of five. Costume minus 20. Okay, so from here we can see that the absolute maximum had X question 070 will be five and absolute. The minimum at except close to minus three. Yeah. The value of the function f of monastery will be minus of 76. This will be concert. I hope you understood. Thank you.

For this question. We're asked if on outside maximums and in moments of after vexed with 2/3 X minus five on the domain negatives of taking access lasted about a free. So Sarah Foot, let's find the first survey tive of our backs off perplex. Did you just get us 2/3? Because we know that zero is never equal to 2/3. We know that there is no critical numbers. So another absolute laxman off so little because you're 2/3 acts Nice. Five contestants to me, we'll have to be at the size of her domain. So we have after a night or two with your ghost Magner 19/3. We have f of three, which will get us think this three. And so Then they saw this. We know that this is going to be our absolute No, no, in this over here is going to be our absolute lacks. Um So the next thing you're us to do is we are asked to graph this in, so we have sex. So I see we have a Rolex deep allergic 2/3 X minus five. Through our graph looks something like this. You have what grass e That scene you have ALS call aside If I were here are line and you say that this ever Here's corpus ineptitude in the 19/3. This point over here 3 93 in So these are answers.

We want to find the absolute minimum and maximum values on the function in the given interval. So we're gonna have ffx is going to equal x cubed minus three X. Next to something be from negative infinity to positive infinity. So now what we're going to consider is when we take the derivative f prime of X, we see that there's not gonna be any end point. So we're really just focusing on the critical points. We see that there's gonna be a local minimum and local maximum. However there won't be any absolute extreme. No, if we consider um the next one which is going to be expert over X plus one, Yeah, this one however, um is again not going to have any absolute extreme because going from negative infinity to positive infinity. The highest value we reaches positive infinity. The lowest value we reaches negative infinity. There are local maxima but no extremes.

In the question. We have to find the absolute maximum and minimum values for a given function. Effects it pulls to excess were less one upon x blessed ranging from minus five. My discipline. No movement towards dissolution for regular effects have dash eggs, Big toe Xs. Where do it's minus one upon express my whole square. So keeping this f dash and People's Zero we will Rx will stream minus plus minus, which will be critical minus one. Blessed my nest ex living where minus one and the ANC mines given at X equals toe minus five and x England's finest, which will be impregnated one. So we will be checking on all the irritated so f minus fight good with what in mind? A 6.5 F minus one. My Nestor, who will be approximately 40 minus four point head and limit x 10 minus one from the effects will be or minus. And hence one seemed. These solutions became to the conclusion that salute minimum or given question would be no, you maximum what we at X equals minus one minus. And this will be the final answer for the question. Thank you.


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