WEBVTT
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you want to grab the function after taxes, equity
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, eat of X plus natural olive, the value
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of X minus four, using as maybe Rick tingles
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as we need to depict the true nature of the
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function. So here you can see that I went
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ahead and already grabbed the Kapu viewing rectangles and of
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this kind of go through my rationale behind why I
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chose each of the ones I did. So the
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1st 1 here on the left is just from negative
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. X is equal to negative 30 20. And
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it gives the overall shape of the graph that we
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have. And I just kind of found this by
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zooming out as far as I can, and then
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the first thing I did once I saw this waas
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, I noticed that around X is equal to four
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. So in this region right here, it starts
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to look like it dips down pretty far. So
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I went ahead and blew up the area around excessively
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before to give this first graph right here. And
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you can see that about right here. It looks
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like we have a local max four this function,
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and then it just kind of get dips down at
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Exeter before, then dips back up. And if
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you were to just keep zooming in and him about
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excessive or is just going to look more like this
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or at least with the graphing calculator that I was
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using is going to just kind of dip down further
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further. But we know that if we weren't a
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Plug X is a good four into here, we
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get a vertical awesome, too, for the natural
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law. So X is it before is actually a
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vertical acid trip. So this should just keep on
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going down and down forever. And it's some points
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right here and the latter. How much? I
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actually zoomed in and I could never actually get it
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to go there because the closer and closer I get
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to four, it would just say it would become
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undefined. So maybe if you had a little bit
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better graphing calculator, you would also find where,
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where the ex intercepts where there should be. But
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it should look something kind of more like this here
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, as opposed to what we actually okay. And
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that kind of gives us the behavior amount exit before
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and unfortunately doesn't give us much information. And the
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other part that I thought was kind of interesting was
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over here around X is equal toe negative too.
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So I went ahead and made this area a little
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bit larger, and we can see that this point
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here ends up being a local men. And again
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, this was at X is about negative. 1.7
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are negative. So we can kind of see the
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local backs and local men behavior here, and something
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else we might be able to notice is it looks
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like around here we have a point of inflection.
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So that's why one had included that. And also
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in our first round here, you might notice that
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around our local max, we also have a point
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of inflection that kind of looks like and to the
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right here. We also have a point of in
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election. So these were the three viewing rectangles that
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I thought were useful for describing no ground of dysfunction