For example, to find the domain of f(x) = 2/(x-3), we set x-3 ≠ 0, by solving this, we get x≠3. To find the domain of a rational function, we just set the denominator not equal to zero. How to Find the Domain of a Function which is Rational? Thus, its domain is the set of all non-negative real numbers. For example, for the function f(x) = √x, it is possible to input only non-negative values into it. The domain of a function is the set of all values that are possible to input into it. The domain in math is usually defined for relations/functions. What is the Definition of Domain in Math? Inputting the values x =, which is a singleton set. Consider the above box as a function f(x) = 2x. i.e., The domain in math is the set of all possible inputs for the function. 1.ĭomain and Range of Exponential Functionsĭomain and Range of Trigonometric Functionsĭomain and Range of an Absolute Value Functionĭomain and Range of a Square Root FunctionĪ domain of a function refers to "all the values" that can go into a function without resulting in undefined values. Let us learn to find the domain and range of a function, and also graph them. Thus, the range is the possible outputs we can have here, that is, the flavors of soda in the machine. No matter what amount you pay, you won't get a cheeseburger from a soda machine. Hence, the domain represents the inputs we can have here, that is, quarters and one-dollar bills. The machine will not give you any flavor of the soda if pennies are input.
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