Function Grapher and Calculator

MathsIsFun · 2006-06-03 00:31:08

The Function Grapher and Calculator is ready for you guys to try out. There are probably still bugs, and I don't mind if you tell me about them.

My idea is that we can use this thing to solve or illustrate problems, so I placed a special "Link" section - you can copy-and-paste the "forum" link into your message, and it will re-create the graph you made like this: Plot of 3*x-7 vs -x-2 or this: Plot of cos(x^2)-x. Have a try and tell me what you think.

Jai Ganesh · 2006-06-03 01:33:54

Brilliant!
I tried x Vs x^(1/x) and got a nice curve, almost parallel to the x-axis as x increases.
(1) Can't the axes have different scales?
(2) I tried x^10 Vs x and got nothing!

numen · 2006-06-03 02:21:53

My plot

Works great, nice work

I get same problem as ganesh though. I can plot x^6, but with x^7 or x^10 I see nothing.

justlookingforthemoment · 2006-06-03 10:23:15

I think the little box which pops out when you click calculate is cool.

When I plot x^7 or x^8 or with a higher power, the whole graph turns blue, with just the x and y axis arrows sticking out in red...

MathsIsFun · 2006-06-03 12:26:52

It seems that the values are so far out of bounds they oscillate between plus and minus, and so make lots of vertical lines. I will get it to show me the values, and sift through to see why.

Nice graph, numen. Just 4 terms makes a good approximation. But then the inbuilt sin() function is also an approximation, I suppose.

MathsIsFun · 2006-06-03 19:03:49

I think I have ironed that particular bug out: Torture Test

(Ganesh Q2: x and y axes will have different scales if you use the mouse to draw a rectangle around your area of interest)

John E. Franklin · 2006-06-06 17:12:14

Nice! Plot of x^2.2 vs x^1.9
Love the "url" and "forum" buttons. Then I selected and used ctrl-C. Is that the only way?
or right click and choose copy?

MathsIsFun · 2006-06-06 19:03:49

Ctrl-c sometimes works with flash, but the most reliable is right-click|select all, then right-click|copy

Ninja 101 · 2006-06-08 23:02:36

I don't understand...I don't understand...I don't understand...I don't understand...BLAM...

Devantè · 2006-07-23 08:14:51

This is fun to play around with when you're bored. Nice work.

MathsIsFun · 2006-07-30 21:34:56

An upgrade to the function grapher. It now understands "2x" as being "2 times x". Likewise it understands 2pi, 2(x+1) and even (x+1)(x+1).

See if you can confuse it (you probably can if you try hard enough). Use the "calculate" button to see how it has parsed it.

mathsyperson · 2007-12-17 05:12:20

Bump.

Some people have been referring to this in Help Me topics, so I thought this topic should be revisited.

As ganesh said earlier, letting the axes have different scales would be extremely useful.
Also, in asymptotic graphs that go to -infinity from one side of a certain x-value and +infinity from the other, the grapher tries to join them with a vertical line.
I'm not sure how easy that would be to fix though.

MathsIsFun · 2007-12-17 08:18:36

I will look into it!

John E. Franklin · 2008-07-30 13:40:13

I've been spending about 2 hours solid fiddling with this function grapher.
It is really great the way you can pan around.
I was examining what happens when you add two sine waves together with similar frequencies,
and comparing this to the 2sin(average)cos(halfDifference) formula, which I see how it
works on paper by the way with a drawing, but anyway, after about an hour with the
awesome grapher you made, I came across some instances when occasional lines
are not printed on the screen. I made some screen prints, in case you are interested.
It is a pretty rare occurrence and when I pan around by a few pixels, then the missing
lines show up on the screen. But overall, the grapher is beautiful and very, very nice.
Just thought I'd let you know. I took some screen shots if you ever want to see the missing lines.

MathsIsFun · 2008-07-30 14:00:13

Thanks John.

Glad the bug is rare
Screenshots would be nice

John E. Franklin · 2008-07-30 15:06:17

You can also find the missing lines with y=x^2,
if you zoom out so 10000 units is about one inch, and
then pan upward a few screens, then the left or right
side a the parabola might appear without the other side.
Here is a picture of some trig...
If you pan around by 2 or 3 pixels at a time by clicking
near the middle, then the lines will appear for some
clicks, and then disappear for a few clicks, and if you
pan back, it is always the same locations that trigger
this when you find the problem, so it isn't intermittant I guess.

MathsIsFun · 2009-03-01 10:00:57

I have an updated version (0.96) now ... Function Grapher and Calculator

I have an "Equal Scales" option (so when you zoom it can keep scales the same, or let the graph "stretch" if the option is Off).

AND I have a slider for the constant "a" so you can include "a" in your function and then use the slider to alter "a"

Does it work nicely for you guys?

mathsyperson · 2009-03-01 11:03:03

Nice upgrades!
The 'a' slider is a bit laggy, but it works perfectly.
I'm not sure if it's new, but I also really like the polar feature.

One thing - the plots people have been posting don't seem to work anymore.

Edit: I'd also really like boxes where you can specify the shown range exactly (eg. (-pi,-1) to (pi,1) )

MathsIsFun · 2009-03-01 11:44:01

mathsyperson wrote:

The 'a' slider is a bit laggy, but it works perfectly.

Yeah ... it needs time to draw the graph. I thought of part-drawing the graph, or drawing it in low-res (every 4th pixel) while you are dragging - I am not sure it would be better though ?

mathsyperson wrote:

One thing - the plots people have been posting don't seem to work anymore.

Oops ... fixed.

mathsyperson wrote:

I'd also really like boxes where you can specify the shown range exactly (eg. (-pi,-1) to (pi,1) )

Good idea

John E. Franklin · 2010-01-26 05:40:35

MIF, here are 2 function graphers.

http://www.mathsisfun.com/data/function-grapher.php
That one says "y =" to the left of the entry box.

http://www.mathsisfun.com/data/function-grapher.php
This one does not say "y=" to the left of the entry box.

Since the older one doesn't say "y=" to the left of the
expression you enter, it might be a tiny bit confusing.
Just a thought.

MathsIsFun · 2010-01-26 08:19:01

Same? Would the other one be

http://www.mathsisfun.com/data/grapher-equation.html

John E. Franklin · 2010-01-26 09:57:07

Sorry, my forgotten cut and paste. Should be:
http://www.mathsisfun.com/data/graph.html
(This one has a black background, and no "y=")
(I guess there are 3+ equation graphers!)

KrazyKyngeKorny · 2010-06-07 05:46:51

MathsIsFun wrote:

The Function Grapher and Calculator is ready for you guys to try out. There are probably still bugs, and I don't mind if you tell me about them.
My idea is that we can use this thing to solve or illustrate problems, so I placed a special "Link" section - you can copy-and-paste the "forum" link into your message, and it will re-create the graph you made Have a try and tell me what you think.

I think you have a winner. Graphs are a big help in the understanding of math.

bobbym · 2010-06-07 09:45:41

KrazyKyngeKorny wrote:

Graphs are a big help in the understanding of math.

Yes, well said, especially in determining the number of zeroes that a polynomial has and where they are. Other types of functions even more so! With the new graphing calculators and CAS they are fun to do also. When I started they only gave us a beach full of sand to draw on and some pebbles to count with. Some of us were eaten by sharks, math was more dangerous then.

DaveRobinsonUK · 2010-06-14 22:50:34

Very nice, is it done in Flash?

How do you get flash to draw arbitrary curves from the built in AS graph functions?

Math Is Fun Forum

#1 2006-06-03 00:31:08

Function Grapher and Calculator

#2 2006-06-03 01:33:54

Re: Function Grapher and Calculator

#3 2006-06-03 02:21:53

Re: Function Grapher and Calculator

#4 2006-06-03 10:23:15

Re: Function Grapher and Calculator

#5 2006-06-03 12:26:52

Re: Function Grapher and Calculator

#6 2006-06-03 19:03:49

Re: Function Grapher and Calculator

#7 2006-06-06 17:12:14

Re: Function Grapher and Calculator

#8 2006-06-06 19:03:49

Re: Function Grapher and Calculator

#9 2006-06-08 23:02:36

Re: Function Grapher and Calculator

#10 2006-07-23 08:14:51

Re: Function Grapher and Calculator

#11 2006-07-30 21:34:56

Re: Function Grapher and Calculator

#12 2007-12-17 05:12:20

Re: Function Grapher and Calculator

#13 2007-12-17 08:18:36

Re: Function Grapher and Calculator

#14 2008-07-30 13:40:13

Re: Function Grapher and Calculator

#15 2008-07-30 14:00:13

Re: Function Grapher and Calculator

#16 2008-07-30 15:06:17

Re: Function Grapher and Calculator

#17 2009-03-01 10:00:57

Re: Function Grapher and Calculator

#18 2009-03-01 11:03:03

Re: Function Grapher and Calculator

#19 2009-03-01 11:44:01

Re: Function Grapher and Calculator

#20 2010-01-26 05:40:35

Re: Function Grapher and Calculator

#21 2010-01-26 08:19:01

Re: Function Grapher and Calculator

#22 2010-01-26 09:57:07

Re: Function Grapher and Calculator

#23 2010-06-07 05:46:51

Re: Function Grapher and Calculator

#24 2010-06-07 09:45:41

Re: Function Grapher and Calculator

#25 2010-06-14 22:50:34

Re: Function Grapher and Calculator

Board footer