Define Function, domain, range, and arrow diagram for the function
Function:
A function is expressed in terms of dependent and independent variable. For every function, the value of one variable quantity changes according to another variable quantity, that is both the variables depends on each other. If x and y are considered as a two variables, it is expressed as follows:
Here, f is function, x is independent variable (input value of f), and y is dependent variable (output value of f at x).
The definition of Function as follows:
The function is defined as. “A function f from a set D to a set Y is a rule that consigns a unique value
Domain:
The possibility of all input values of the function is called domain of the function. The all input values of set D is domain of the function.
Range:
The variable x varies throughout the set D and provide the set of all output value of
Arrow diagram:
Function can represented by an arrow diagram.
Draw the arrow diagram as shown in Figure 1.
Refer to Figure 1.