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Graphing calculator is recommendedquadratic function is given. f{x) = x2 + 1.77x 3.21Use graphing device to find the maximum The ~Select-- value of f is flx)minimum...

Question

Graphing calculator is recommendedquadratic function is given. f{x) = x2 + 1.77x 3.21Use graphing device to find the maximum The ~Select-- value of f is flx)minimum value of the quadratic function f rounded to two decimal places_Find the exact maximumminimum value of f, and compare it with your answer to part (a)

graphing calculator is recommended quadratic function is given. f{x) = x2 + 1.77x 3.21 Use graphing device to find the maximum The ~Select-- value of f is flx) minimum value of the quadratic function f rounded to two decimal places_ Find the exact maximum minimum value of f, and compare it with your answer to part (a)



Answers

A quadratic function is given. a. Use a graphing device to find the maximum or minimum value of the quadratic function $f$ rounded to two decimal places. b. Find the exact maximum or minimum value of $f,$ and compare it with your answer to part (a). $$f(x)=x^{2}+1.79 x-3.21$$

Okay, So the first part of this question is asking goes to find the It's asking us to find a maximum minimum value off the function by using, um, take you to the capital it or you can use a graphical device. Averages like calculator. Um, I'm using the Casio FX 89 one on 991 the X right. So if you just type the equation into the it's gonna be different for every capitalist. It's hard for me, too. Have you along with this right now. But just ask him, your tutor. Are your teacher how to do this on your particular device? Maybe that you need to get any device? I'm not sure, really. Well, it's always good to investing in the conflict that could do something. So put this into your calculator. Um, why get at the minimum values? I get minus full point and asked us to round 22 decimal places. I get minus 4.1 I'm to two decimal places, all right, and in part be asked you to find the minimum minimum or maximum value. Um, without doing that, Andi. Okay. So the way I'm gonna find a map terminal with values. I'm actually gonna use the maximum long We've been value equation to find the ex corn Vertex, and I'm gonna die. So the ex corner of the Texas with minus B over to a here and that's going Thio equal minus 1.79 over two tires by one, slashed over too. I put them to my calculator. I don't want to be rounding a tall here because that, uh, I'll reduce the accuracy of my answer. I get just minus 179 over 200 I could just keep it. Is that for the moment? And then I'll stop that back into the equation, and I'll see what that gives me. So, my ass. 179 over 200 All square plus 1.79 times by 179 over 200 minus 3.2 won't. So when I put that into my calculator, I'm just doing that now. My thoughts of nine over 200 all squared, plus time to buy matter for some night, too. Um, my realistic. What you want? I actually got saved by, um, yeah, not quite sure what it's getting on. Yeah, I got the same value of 22 decimal places on some calculators. Um, it may be different book here. My calculator got minus 4.1 on when I worked out using the phone. When I go, I've got minus 4.1 to 2 different places. Um, so I know I'm kind of interested. Um, yeah, if you got a different answer, if you got any questions about on this particular exercise just evenly at Daniel Doggy patched up Nolan actor Jima that come. Thanks very much for listening. And I wish you the best for your studies.

This question asked us to use a graphing device to find the minimum or maximum find the exact value and then compare it. Okay, Using a graphing device, I'm gonna be graphing on my G I 84 plus calculator and then plugging my answer and directly, in other words, rewriting it out. This is negative. 0.8 95 Common negative. 4.1 Okay, now let's find the exact value. Let's use the formula negative. Be over to We know our B is 1.79 and are a is simply one. This gives us negative 0.895 This is exactly correct. No plugging in asked of negative zero point 895 we end up with negative 4.11 What this means is that we can see almost the exact same answers. That's how I would compare them, is by saying they're basically similar, except for obviously, the calculator will tend to round your answers because they can't put an infinitely long answer

On anyone. This was a year ago. I know. Party A party before this untenable. So for party, what do you do? Nothing. Device. And we can find the maximum or minimum value by using Mexes party for part two years by not nice in new by using anything. So what do if I sit in the fight? This one been well here. I can take minus four months by day, minus before one. Then it will be a square minus one by quick. Let's one. It seems debate again Didn't want get When they get simple ability My next to it is ready yet Next what I can do by 5% environment Dinosaur Does this square minus going door one vital going one. Bite through into it like that Let's one for the very simplified and Linus will go into It's a splint, My nut who went toe? One to everybody Total two x there one by a little too honest What Already on minus wonder our way A little too old is what I'm suspecting And last one of you so very personal. If I find us yet x minus, it is going to spread All affects my next London arguably total going this way and the next month. And I just wanted to remind us with people minus finest did bless your parental one divided by total body to do that and less once it so far. But if I didn't fight enough over support failure minus it'll wrinkle X minus one too early. Global hold this way left the money. If I simplify, then this is nothing. What 100 place or but what? So what? That dance in here. Do you think the opposite is that you do so this time I get back Slumber new? Well, maximum Then it's not ready for go when this part with video. So there's not maximum in one less Why do you want to play for who? What is the maximum value on disadvantage? So from here to there the party begins. Okay, so that Oh, here

So part ay ass is to, ah estimate the maximum or minimum value of the function just graphing device. So if we grab it, we get a plot similar to this and we can see how our maximum is approximately at, ah points three, 1.35 And there a minimum. I, um 23 5 comma. Ah, one points about 1.2. Um so that's kind of what we're guessing here. Part B acids Thio Solve this and see what we get. You see how it compares to Ran's Aaron party? So, um, if we do this real quick, we take negative, too. Common outs from the first off from the and Beatrice we love for their thio x squared, Um, minus, uh, X over route, too. And, uh, so we had to divide by two square to get the C term. So that would be home one plus one over two squares. Four times two is a thorn or its um, And since we're adding a negative route to 80 most tracks Navy route to overtake a route to operate from the equation to make, uh, equal. And we have a plus one here. So let's simplify this further. Some negative roots too. X minus one over two grows too. Square Waas from its plus are too over hates. So are our maximum will be won over to root two comma, eight waas, Route two over It's and ah, that will be here. Um, exact answer and we want to approximate it. This approximately equals Ah, 1.17 comma, 0.35 So we were pretty close with her. Sorry. Uh, this is eyes reverse, actually. So this turn is is your 0.35 uh, comma, 1.17 s. So we were actually pretty close with her Answer. Um, yes, that's it.


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