Two methods will be discussed in this article. For example, the domain of the function is represented in interval notation asĮxercise: Find the domain of the function and represent it using all of the three notations discussed above. If zero were included, we would have used the square bracket. The round bracket with 0 represents that 0 is not included. Taking the example of the function yet again, the domain can be represented in interval notation as Similarly, the function cannot output a real number for x symbols, whereas square brackets are used to replace the ≤, ≥ symbols. For example, the function is undefined when you plug in the number x = 0.

You should realize that some functions ‘ break’ at some input values (or in other words, the rule that a function is based on cannot be applied to some numbers). A function has to be passed some numbers as the values of the independent variable x. You may recall that a function is represented in form of an expression that involves the use of an independent variable (usually represented with the symbol x). Here we will discuss about those numbers (input and output), what they are called, their notation etc. In textbooks, a function is usually attributed as a mathematical machine that swallows a number, processes it (based on some rule) and spits out another number. The operation can as simple as multiplying the input with 1 (basically doing nothing). A function basically takes some values and outputs corresponding values after performing some operation on it. You may recall what a function is and what it does.

Function domain and range calculator