1 Ocak 2013 Salı

Function Grapher and Calculator

Function Grapher and Calculator

Function grapher and calculator has all the common operators and functions as expected from typical scientific calculators and graphing calculators for graphing functions.

To graph a function enter the function by clicking on the buttons or enter them with the keyboard and then press the plot button, you can only graph function of type y=f(x)

It has the unique feature that you can save your work as a website link.
As you see we write our functions on this part..


We can graph both two functions. 

Therefore,


As you see, we write the equation (2x+1 and 3x+5) and grapher has sketched it.
In 2x, out2x out3x and reset parts changes its size.

In instance, it goes 0; 5; 10; 15; 20 on the x and y axis....like the graph which is on below. If you click on "in2x", it has zoomed 2 times.



Let try other functions and see before "out2x" after "out2x"


There is a function of sin(x^2+1) 
(x squared is writing as x^2)


When we click "out2x" it will be like that;

Önceden 5 karelik kısım 5 birimlik uzunluğu gösterirken şimdi 5 kare 10 birimlik uzunluğu göstermektedir. Grafiğimizdeki fonksiyonumuz sıklaşmıştır.


USING "a" ON THE GRAPH
There is the part which becomes the function to fixed "a"


Let see functions which is fixed-a


The another function is here..

Before the "variable" was x but now the variable has chanced to y

a is eequal to 1


a is equal to 2

y multiple a is denoted by y*a
y divided a is denoted by y/a

Division!

Pink Rectangle!

Pembe dikdörtgeni grafiğimizin üzerine faremizi getirdiğimizde çizeriz. Çizdiğimiz kare ya da dikdörtgen kadarını gösterir bize. Örneğin yukarıdaki şekilde dikdörtgenin içindeki alan sonrasında şöyle olur:

Seçtiğimiz alana yakınlaştık.

Briefly,
We can sketch any function which is fixed to x or y or any number a
We can also sketch trigonometric functions sin, cos, tan, cot, arcsin (asin), arccos (acos)...
We can sketch hyperbolic functions too.. 
For example:
Hyperbolic Sin Function


There is also absolute value
Let see its function on the graph

|x+2|


ln function..

floor function

 Base-10 logarithm of a value

We can also calculate any operation, it will give us the answer!

It shows us squareroot 36 is equal to 6

On the graph our mouse pointer show us the point x and y.

axis x and y







Foo Plot

Foo Plot

Foo plot is functions plotter too, like "Graph Sketch". You can online sketch the function in 3D or 2D with root and intersection finding, easy scrolling and exporting features.


There is a part which the functions are written
For example I write it x^3 and I change its settings like that 


You can fix the border of x-y plane
For example,
 My graphs' borders are -5 and 5 on the x plane.
-3 and 3 on the y plane

I changed its window on x-y plane. Finally I obtained this graph 




We can do some change on our graph.


We can change background color

We can also add or drop "grid", "axes", "tick marks", "number"

Let try it on the graph

Background

We can drop the grids by grid button and change its color 


We can drop axes and change its color

We can drop/add numbers and tick marks like we have done above


"Function"
We can sketch any degree of function...

You should write x-squared like that "x^2" 
There is a function y(x)=x^2/(x+1)(x-1)

If you want to write square-root x, you should write like that:
"x^(1/2)"

Brackets are important!!

Let sketch it!

 Also let sketch this function! 


We write it like that:
(x+1)^(1/5)



There is also logarithmic function which is based 10
log(x+1)


Hyperbolic Trigonometric Functions 
tanh(x), sinh(x), cosh(x), coth(x)

We sketch 4 functions on one graph

sin(x)

cos(x), tan(x) and cot(x) are like sin(x) function

Let sketch the inverse sin function which is asin(x)
asin(x)


Absolute Value 
Graph of |x^3+1|

ceil(x) 




I have created any function. You can also create polarparametric and points



"Polar


"Parametric"

x=2 and y is fixed "s"
"s" is defined -2<s<1





Cos(2s) and Sin(2s) 


"Point"

Enter the points here.. 

Therefore you can see the points on the graph 

You are allowed to change the points' color





Graph Sketch


Graph Sketch

We use it to sketch some functions. 

Firstly you should enter any equations, then you also should change some settings which are x range, y range,  x-y tick distance, function width and image size. 


x range and y range are set the size of its
There is a picture of settings part

"x-y tick distance" x ve y axisleri üzerindeki aralığı belirler.
Label Every sayıları yazacağı sıklığı belirler örneğin x'te 3 yaparsanız ...-6,-3,0,3,6,9,12... şeklinde ilerler sayılar.
If you want the grid you should select the show grid

When you determine the settings shown above, there will be the graph like that;


Let sketch some sample functions!
We can more than one function on one graph



x-squared is written as x^2
x+1 multiple x-1 is written as (x+1)*(x-1)
Also
For example
x+1 divided by 2 is written as (x+1)/2

Let sketch trigonometric functions!






Önceki grafik programlarında küp kök x'i x(1/3) şeklinde yazdık. Bu programda onun gibi yazmak yerine root(x,3) şeklinde yazarız. Örneğin 4. dereceden kök x+1'i şu şekilde yazarız: root(x+1,4)

There is also "exponential", "logarithmic" and "ln" functions
Let sketch that!