You Can’t Touch This (or Kick Asymptote Maths!)

Mathematics gets a bit crazy sometimes – when is a function a function? Where can functions go and not go? What the hell is a domain? A Co-domain? an Image? What’s with these asympotes? Maths is supposed to be about numbers, right?

Well, don’t worry. In a half a year or so, this will seem easy – you will be wishing you could deal with simple stuff like rectangular hyperbolas, fourth order polynomials with real roots, trunci, functional long division, remainder theorems and partial fractions.

Wait a moment. That probably wasn’t as reassuring as I thought…

Nevermind – You enrolled in mathematical methods, it was your choice, so you may as well get into it. What doesn’t kill you, makes you stronger. And if it does kill you, at least you won’t have to do anymore homework!

It is time to get to the meat of this chapter – the various types of functions you must be able to solve, plot, analyse and interpret. The first and simplest of these are the quadratics with which you are familiar, and the translations of them which you have studied. Extrapolation leads you to the higher order polynomials, which you studied last year, and then to inverse functions, such as hyperbola, and trunci – where the infamous asymptotes show up. Asymptotes aren’t as bad as they seem (or at least, we keep the truly scary ones away from you at this time!). They are simply a matter of making sure you never divide by zero, by identifying where the denominator of a rational functional would be equal to zero, and eliminating them from the possible values of the function.

There are some additional notes for you (which may be worth considering for your bound reference), that I have uploaded in my google documents store. I expect that you download them, read them carefully and include them in your folders. You can find them at this link.

The other way to think about asymptotes is that the closer you get, the higher the value of the function, until as you would almost touch the value, your function approaches infinity (), which in terms of the real world solutions is too big for any practical consideration

You can blame your classmate with initial L.T. for the following videos. This is not so much “The good, the bad and the ugly” as “The ugly, The hideous, and the OhGodMAKEITSTOPPLEASE”

Here is the link to the video set, and here is the first one:

See you in class.

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5 Comments on “You Can’t Touch This (or Kick Asymptote Maths!)”

  1. Prathamesh Khairnar Says:

    hey sir, we should do hyper boles this year 😀

    • CyberChalky Says:

      Hi Prathamesh,

      Good try, but now you’re reading a Year 12 Mathematical Methods subject post. I’m impressed by your ambition, but you probably want to stick to the year 10 stuff!

      See you in class.

      • Prathamesh Khairnar Says:

        no..but i know how to solve parabolas though 🙂 i wanna take it to the next step 😛

        i know how hyperboles work…but i cant solve them lol, like if u plot one for me on a graph i cant give you the equation in return 😦

    • Loughlin Says:

      Get out. Get out while you still can. It only gets worse from here.

      (Pain factor of VCE is like a parabola. OHGODITHURTSOWOW–> It’s okay I’m getting stuff hey VCE is great OH GOD YEAR 12 OH AHH IT HURTS MORE)

  2. Loughlin Says:

    Year 12 Methods: The audio is really hard to understand, but graphically you can follow along. Also, if you use an n-spire then atomic learning is really good, but you have to google n-spire atomiclearning to actually find it, the front of site is hard to navigate.

    Can’t touch this.


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