Algebra is a subdivision in math, which comprises of infinite number of operations on equations, polynomials, inequalities, radicals, rational numbers, logarithms, etc. Graphing algebra equations or function is also a part of algebra. Graphing is nothing but the pictorial view of the given function or equation, it may be a line, parabola, hyperbola, curve, circle, etc.The most commonly used graphing functions with their graph is given in the following sections.

Common graph functions:

The most commonly used graph functions are,
Linear function which gives a straight line
                f(x) = ax +b
Functions with degree 2
               f(x) = ax² +b
Functions with degree 3,
               f(x) = ax³ + bx
Functions of square root,
              f(x) =` sqrt(x)`

Graph for the common functions:

The graphical view of common functions is shown below,
1. Linear function.

Linear functions are in  the format where the function has degree 1. So that the function varies linearly. The general format for linear functions is shown below,

 f(x) = ax +b

where, x power is 1. b is a constant.

The graph for the linear function is a line and the graph is shown below,

2. Function with degree 2,

The function for degree 2 is in the format,

f(x) = ax² . where, a is a constant

The graph for this function looks as shown below,

3. Function with degree 3 is as follows,

f(x) = ax³

where, a is a constant.

The graph looks as shown below,

4. Function with degree 4 is in th format,

f(x) = ax⁴

where, a is a constant.
The graph is as follows,

5. The function with square root is as follows,

f(x) = sqrt (x)

The graph is as follows,

The above shown functions are functions of x, if it is changed to function of y, then the graph changes to the y axis.