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Mathematics 21 Online
OpenStudy (anonymous):

Wanna know a website which helps us to manually find graphs of functions???HELP me

OpenStudy (anonymous):

@shubhamsrg @ShailKumar @ganeshie8 @goformit100 @texaschic101 @Compassionate @chmvijay

OpenStudy (anonymous):

I mean teach us how to

OpenStudy (anonymous):

@texaschic101

OpenStudy (ikram002p):

well , wolfram u can put ur equation in it and it will graph it http://www.wolframalpha.com/

OpenStudy (ikram002p):

nw for ur sake idk a website to teach u mmm sketching problem is a huge subject :-\ but ill try to find out

OpenStudy (anonymous):

Thanks man

OpenStudy (anonymous):

but yeah I know wolfram

OpenStudy (ikram002p):

what curves u wanna learn to sketch ? i might help

OpenStudy (anonymous):

all of em

OpenStudy (anonymous):

ranging from trig to inverse trig to exponential to logarithmic and combinations

OpenStudy (anonymous):

too much to ask but...

OpenStudy (ikram002p):

ic... not all trig and it inverse exponetial and log i think there is sites to evaluate both of them :) i thought ur looking for something more diffecult :P

OpenStudy (ikram002p):

http://www.onlinemathlearning.com/a-level-maths.html

OpenStudy (anonymous):

idk where to go in that site?? :(

OpenStudy (anonymous):

got it

OpenStudy (anonymous):

man ur awesome!!

ganeshie8 (ganeshie8):

knw how to sketch a line ?

ganeshie8 (ganeshie8):

y = mx+b

OpenStudy (ikram002p):

oh u got the level you want nice :)

OpenStudy (anonymous):

cmon @ganeshie8 appreciate but not I am not that bad man

OpenStudy (ikram002p):

this is a nice compiler in the site http://www.mathsisfun.com/data/function-grapher.php#description

OpenStudy (anonymous):

but still that website is basic

ganeshie8 (ganeshie8):

good, lets categorize the functions to sketch : 1) polynomials 2) periodic functions like trig functions 3) polar equations like cardiods limacons etc

OpenStudy (anonymous):

I wanted them for higher functions

ganeshie8 (ganeshie8):

all the above functions involve single variable ^^

OpenStudy (anonymous):

I know trig(I guess).....on with 1 and 3

OpenStudy (anonymous):

thats the first time I heard cardio..lima...somethin O_o

OpenStudy (anonymous):

lol me

ganeshie8 (ganeshie8):

sketching polynomials is easier than periodic functions (trig)

OpenStudy (anonymous):

my jaw is literally hanging.....go on.....

OpenStudy (ikram002p):

actually polynomial could be more tricky than trig

ganeshie8 (ganeshie8):

You only need to know about two things to sketch ANY polynomial : \(\large y=f(x) = a_ax^n + a_2x^{n-1} + \cdots + a_n\) 1) end behavior 2) finding x,y intercepts

ganeshie8 (ganeshie8):

heard of those before ? :)

OpenStudy (anonymous):

dunno bout end behaviour

OpenStudy (ikram002p):

best way to sketch polynomial is finding f'(x) f''(x) since we could have problem if the function have no zeroes

OpenStudy (anonymous):

so how to plot \[x^3 + x^2 + x^(1/2)]

ganeshie8 (ganeshie8):

consider this polynomial : \(\large y = 100x^{1000000} + 1\)

OpenStudy (anonymous):

thats a start Yes

OpenStudy (anonymous):

at x=0 y =1

OpenStudy (larseighner):

Since the world is crawling with graphing sites (some are better than others) I assume you are asking for help SKETCHING graphs rather than having them done for you. You should look at SVG editors. They can help you sketch curves without doing them for you, but the controls are hard to learn and hard to use.

OpenStudy (anonymous):

I dont need a website

ganeshie8 (ganeshie8):

lets analyze what happens at the extremes

OpenStudy (anonymous):

thank u I want to sketch em myself

OpenStudy (anonymous):

okay......how??

ganeshie8 (ganeshie8):

\(\large y = 100x^{1000000} + 1\) Since the degree \(1000000\), which is even, \(\large x^{1000000}\) is always positive, and the value shoots UP on both ends of the x axis

OpenStudy (anonymous):

so a u shape-ish??

OpenStudy (ikram002p):

yes sort of u

ganeshie8 (ganeshie8):

|dw:1404901794384:dw|

ganeshie8 (ganeshie8):

So you do know something about end behavior :)

OpenStudy (ikram002p):

its like open rectangle but without sharp edges

ganeshie8 (ganeshie8):

if the degree was ODD, then the sketch would be going in opposite directions like S shape. for example, the graph of \(\large y = x^9\) would looks ome think like below : |dw:1404902021802:dw|

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