The rule which specifies a function can come in many different forms based on how it is defined. They can be defined as piecewise-defined-functions or as formulas. When we define f(x) = √x, for x ≥ 0, then the inputs are the numbers that we provide and the ‘taking square root’ function accepts all non-negative real numbers and gets the output as f(x). Most often it is a formula, as in
g(x)={2xx<0x2x≥0g(x)={2xx<0x2x≥0
where the domain of g = all real numbers
A function in math can be represented as:
- a set of ordered pairs
- an arrow diagram
- a table form
- a graphical form
“f(x) = x2 ” is the general manner to represent a function. It is said as f of x is equal to x square. This is represented as f = {(1,1), (2,4), (3,9)}. The domain and range of a function is given as D= {1, 2, 3}, R={1,4, 9}. Here is a representation of a function in math as an ordered pair.
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