What is the domain of this quadratic function? y = x^2 - 4 Choices: (A){x | x ≥ 0} (B){x | x ≤ 0} (C){x | x ≥ -4} (D)all real numbers

Define Function Domain: The domain of a function refers to all the possible input values (x-values) that the function can accept. For a quadratic function, which is a polynomial function, the domain is typically all real numbers because you can plug any real number into a quadratic equation and get a real number out.Check Restrictions: To confirm the domain of the quadratic function y = x^2 - 4, we need to check if there are any restrictions on the x-values. Since there are no square roots, logarithms, or denominators that could potentially restrict the domain, we can conclude that x can take any real value.Confirm Domain: Therefore, the domain of the function y = x^2 - 4 is all real numbers, which corresponds to choice (D).

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What is the domain of this quadratic function? $\newline$ $y = x^2 - 4$ $\newline$ Choices: $\newline$ (A) $\{x | x \geq 0\}$ $\newline$ (B) $\{x | x \leq 0\}$ $\newline$ (C) $\{x | x \geq -4\}$ $\newline$ (D)all real numbers

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Algebra 1

Domain and range of quadratic functions: equations

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Q. What is the domain of this quadratic function?

\newline

y = x^2 - 4

\newline

Choices:

\newline

(A)

\{x | x \geq 0\}

\newline

(B)

\{x | x \leq 0\}

\newline

(C)

\{x | x \geq -4\}

\newline

(D)all real numbers

Define Function Domain: The domain of a function refers to all the possible input values ( $x$ -values) that the function can accept. For a quadratic function, which is a polynomial function, the domain is typically all real numbers because you can plug any real number into a quadratic equation and get a real number out.
Check Restrictions: To confirm the domain of the quadratic function $y = x^2 - 4$ , we need to check if there are any restrictions on the $x$ -values. Since there are no square roots, logarithms, or denominators that could potentially restrict the domain, we can conclude that $x$ can take any real value.
Confirm Domain: Therefore, the domain of the function $y = x^2 - 4$ is all real numbers, which corresponds to choice (D).