Addition of ordinates shape prediction

[kenhung123]

Is there anyway to predict the shape of the resulting function when adding 2 individual functions together? I mean if you just sub random points in you can't really predict the shape (unless you sub in the right ones by chance)

[the.watchman]

Well start by plotting major points, then take a look at the functions you're adding.
If you can estimate them as polynomials, then have a think about what the result is likely to be.
If not, then just rely on respective gradients of points

EDIT: 1400 posts

[TrueTears]

Is there anyway to predict the shape of the resulting function when adding 2 individual functions together? I mean if you just sub random points in you can't really predict the shape (unless you sub in the right ones by chance)

don't sub points just add the heights respectively.

[the.watchman]

Is there anyway to predict the shape of the resulting function when adding 2 individual functions together? I mean if you just sub random points in you can't really predict the shape (unless you sub in the right ones by chance)

don't sub points just add the heights respectively.

Is there anyway to predict the shape of the resulting function when adding 2 individual functions together? I mean if you just sub random points in you can't really predict the shape (unless you sub in the right ones by chance)

don't sub points just add the heights respectively.

Yep, good points to use are:

a) when one is a zero (the height is the point on the other graph at the same x-value)
b) when they are the same (double the y-values)
You can keep adding as many points as you like until you get a good idea of what the shape is

[the.watchman]

Is there anyway to predict the shape of the resulting function when adding 2 individual functions together? I mean if you just sub random points in you can't really predict the shape (unless you sub in the right ones by chance)

don't sub points just add the heights respectively.

You can just... look at it lol?
Add the distances from x axis in your head by inspection!

Yeah, you can do it in your head, but it's nicer to get at least a couple of main points on the page for some idea of scale, yeah?

[TrueTears]

Is there anyway to predict the shape of the resulting function when adding 2 individual functions together? I mean if you just sub random points in you can't really predict the shape (unless you sub in the right ones by chance)

don't sub points just add the heights respectively.

You can just... look at it lol?
Add the distances from x axis in your head by inspection!

yeah exactly this. you will get an idea of the scale by doing this anyway...

[the.watchman]

Is there anyway to predict the shape of the resulting function when adding 2 individual functions together? I mean if you just sub random points in you can't really predict the shape (unless you sub in the right ones by chance)

don't sub points just add the heights respectively.

You can just... look at it lol?
Add the distances from x axis in your head by inspection!

Yeah, you can do it in your head, but it's nicer to get at least a couple of main points on the page for some idea of scale, yeah?

I usually just pick the intercepts with axis and each other n shit.

I know, I do it like that too, but I thought it's better to start with the basic tips

EDIT: btw, this is not in any way meant to be offensive

[the.watchman]

Is there anyway to predict the shape of the resulting function when adding 2 individual functions together? I mean if you just sub random points in you can't really predict the shape (unless you sub in the right ones by chance)

don't sub points just add the heights respectively.

You can just... look at it lol?
Add the distances from x axis in your head by inspection!

Yeah, you can do it in your head, but it's nicer to get at least a couple of main points on the page for some idea of scale, yeah?

I usually just pick the intercepts with axis and each other n shit.

I know, I do it like that too, but I thought it's better to start with the basic tips

EDIT: btw, this is not in any way meant to be offensive

LOL it's not offensive xD?

Not to you

[kenhung123]

Finding the points is not hard its just "guessing" how to graph behaves between the points is hard

[the.watchman]

Finding the points is not hard its just "guessing" how to graph behaves between the points is hard

It's usually a bit of guesswork, but if it helps, just work out more points, that should help.
Then once you get some more experience, you should be able to spot clear patterns etc.

(Remember, looking at how the graphs are increasing/decreasing can help with the shape)

[stonecold]

i agree, i struggle so much with this, probably because i don't do spesh.

i only found out what an oblique asymptote was the other day!

are there any limitations to what can be asked, or they can basically pull any two graphs from the methods course, add them, and expect you to draw it.  i hate it!

i like modulus function though

[TrueTears]

Is there anyway to predict the shape of the resulting function when adding 2 individual functions together? I mean if you just sub random points in you can't really predict the shape (unless you sub in the right ones by chance)

don't sub points just add the heights respectively.

HOW DO YOU POSSIBLY GET THE HEIGHTS OF THE OTHER FUNCTIONS UNLESS THEY ARE LINEAR!

THAT WOULD TAKE AGES AND EXTREME PRECISION!

yeh

[kenhung123]

He means add the distance from the x axis

[Blakhitman]

yeah I just kinda judge by eye where the point is...always works.

[stonecold]

you guys are legends.  now its way easier to do addition of ordinates. just draw the graphs separate and add the displacements form x.  i used to sub in values.  took ages and always got them wrong anyway....

stupid textbook explanations...