Domain of a function is the set of all possible input values for which the function exists and Range is the set of all possible valid output values. Domain and range are two very important features of any given function. Domain range calculator is the online tool which can find the domain and range of any function easily.
Example 1: Find the domain of the function, f(x) = √x.
Here we have a square root expression.
If x = 0, then √0 = 0èValid number!
Butèwe know that inside any square root, there can never be a negative number.
If x = -5, then √x = √-5 èIf there is negative inside square root, then it’s an imaginary number.
Henceè ‘x’ can be any positive number, but ‘x’ cannot be any negative number.
Hence the domain of the function is from ‘0’ to positive infinity.
Domain x ≥ 0
Example 2: Find the range of the above function, f(x) = √x.
We know that inside any square root, there can never be a negative number.
Hence the ‘x’ value of this function can only be ‘0’ or any positive number.
Because of this reason, there can be never be a case where f(x) = negative number, since ‘x’ can never be a negative number.
Hence > f(x) ≠ any negative number
Range of this function is also all real number except the negative numbers.
Range > y ≥ 0