# Plotting graphs of the functions

Click on the «draw» button to display the graph of the function

### How to use

With the help of this program at Cubens you can build the graph of the function online.

• decimal fractions you need to divide via point
• in some cases it is possible not to write the multiplication signs
• you can build a variety of graphs of functions simultaneously
• you can customize the names and intervals of the axes
• graph can be printed
• you can obtain a link to the graph to share it with others
• when the cursor is on the graph you can move it and increase or decrease the scale

### Modes

Currently, the program provides four modes:

• Simple — in this mode, you can draw graphs of functions defined by the equation
• Parametric — allows you to plot curves given parametrically, i.e., in the form of
• Polar coordinates — allows you to plot curves given in polar coordinates, the equation , where is the radial coordinate and the is the polar coordinate
• Points — this mode is intended for plotting functions specifying the coordinates of their points

### The graph of the function

Dependency variable of variable is called a function if to each value of corresponds to a single value of .

The function is denoted by a single letter , or .

The domain of the function is all values that can take an argument (variable ).

The value of the function is all values that a function can take (variable ) for all from the field definition of the function.

The function can be set using the table, graph, or formula. The formula specifies a rule that each value of argument is assigned the value of the function .

The graph of the function is the set of all points in the coordinate plane with coordinates , where the first coordinate of runs all scope of options of , and the second coordinate is the corresponding value function at the point .

### Operators

Value Description
- subtraction
* multiplication
/ division
^n exponentiation n
^(1/n) root of n-th degree
() brackets

### Functions

Value Description
abs(x) module x
sqrt(x) square root of x
nthRoot(x,n) root of n-th degree of x
pow(x,n) construction of x to power n
exp(x) exponent of x (Euler's number to power of x)
log2(x) base 2 logarithm of x
log10(x) base 10 logarithm of x
ln(x) natural logarithm of x
min(...) minimum value from set of numbers
max(...) maximum value from set of numbers

### Trigonometric functions

Value Description
sin(x) sine of x
cos(x) cosine of x
tan(x) tangent of x
1/tan(x) cotangent of x
asin(x) arc sine of x
acos(x) arc cosine of x
atan(x) arc tangent of x
PI_HALF-atan(x) arc cotangent of x
sinh(x) hyperbolic sine of x
cosh(x) hyperbolic cosine of x
tanh(x) hyperbolic tangent of x
1/tanh(x) hyperbolic cotangent of x

### Constants

Value Description
PI number Pi (3,14159...)
PI_HALF number Pi divided by 2
PI_TWICE number Pi multiplied by 2
ONE one
ZERO zero
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