# 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
`+` addition
`-` 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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