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Posted on April 23, 2022 (Updated on July 9, 2025)

Can a function with a square root have a domain of all real numbers?

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Since the square root must always be positive or 0, . That means . The domain is all real numbers x where x ≥ −5, and the range is all real numbers f(x) such that f(x) ≥ −2. What are the domain and range of the real-valued function ?

What is the domain of a function with a square root?

The domain of a square root function is all values of ​x​ that result in a radicand that is equal to or greater than zero.

Which function have a domain for all real numbers?

Radical function: The graph of the equation: f(x)=√x−3+4 f ( x ) = x − 3 + 4 . The function has the domain of all real numbers greater than or equal to 3 , as shown in the graph above.

Can a function with a square root Cannot have a domain that is the set of all real numbers?

Answer. A function with a square root cannot have a domain that is the set of real numbers.

Is Square Root possible?

The symbol to denote square root is ‘√’. It is also called a radical symbol and the number denoted under this symbol is called the radicand. Say, in √3, 3 is the radicand.
List of Square Root from 1 to 100.

Number (N) Square (N2) Square root (√N)
1 1 1.000
2 4 1.414
3 9 1.732
4 16 2.000

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