![]() ![]() 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. ![]()
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