What is the domain of this function? y = sqrt x Choices: [[{x|x ≥ 0}][{x|x ≤ 0}][{x | x 0}]]

Define Function Domain: The domain of a function is the set of all possible input values (x-values) that the function can accept without resulting in any undefined or complex numbers.Determine Square Root Values: Since y = sqrt(x), we need to determine the values of x for which the square root is defined. The square root of a number is defined for all non-negative numbers, including zero.Identify Domain Values: Therefore, the domain of the function y = sqrt(x) includes all x values that are greater than or equal to zero.Correct Domain Set: Looking at the given choices, the correct domain is the set of all x such that x is greater than or equal to 0, which is written as {x | x ≥ 0}.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

What is the domain of this function? $\newline$ $y = \sqrt{x}$

View step-by-step help

Home

Math Problems

Algebra 1

Domain and range of square root functions: equations

Full solution

Q. What is the domain of this function?

\newline

y = \sqrt{x}

Define Function Domain: The domain of a function is the set of all possible input values ( $x$ -values) that the function can accept without resulting in any undefined or complex numbers.
Determine Square Root Values: Since $y = \sqrt{x}$ , we need to determine the values of $x$ for which the square root is defined. The square root of a number is defined for all non-negative numbers, including $0$ .
Identify Domain Values: Therefore, the domain of the function $y = \sqrt{x}$ includes all $x$ values that are greater than or equal to $0$ .
Correct Domain Set: Looking at the given choices, the correct domain is the set of all $x$ such that $x$ is greater than or equal to $0$ , which is written as $\{x | x \geq 0\}$ .