To form a relation, it is necessary to write all the inputs and outputs as ordered pairs. For example, in an ordered array (0, 1, 2, 3) one can have a relation in the form of (0,4), (1,5), (2,6) and (3,7).
A function is a relation where very input has one and only one output. Normally in relations, a single input could have multiple outputs. But with functions, a single input must have a single output.
A function could be linear, quadratic, cubic, polynomial, rational or irrational. Y = mx +c is an example of a linear function, whereas f(x) = ax2 + bx + c is a quadratic function.
Some examples of functions in Algebra 2 are Y = 3x + 1, which is a linear function, F(x) = 10x + 13, which is also a linear function and Y = 3x2 + 2x +10, which is a quadratic function.
Functions are also known as algebraic functions. One can apply addition, multiplication, subtraction and division to algebraic functions. Functions can also be represented with the help of graphs.Learn more about Algebra