What is the domain of this quadratic function? y = x^2 - 8x - 20 Choices: (A){x | x ≥ -36} (B){x | x ≤ 4} (C){x | x ≥ 0} (D)all real numbers

Function Domain Definition: The domain of a function refers to the set of all 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 Quadratic Function: To confirm the domain of the quadratic function y = x^2 - 8x - 20, we need to check if there are any restrictions on the x-values. Since there are no square roots, logarithms, or any other operations that might restrict the domain in the given function, we can conclude that x can take any real value.Confirm Domain Conclusion: Therefore, the domain of the function y = x^2 - 8x - 20 is all real numbers, which corresponds to choice (D) in the given options.

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What is the domain of this quadratic function? $\newline$ $y = x^2 - 8x - 20$ $\newline$ Choices: $\newline$ (A) ${x | x \geq -36}$ $\newline$ (B) ${x | x \leq 4}$ $\newline$ (C) ${x | x \geq 0}$ $\newline$ (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 - 8x - 20

\newline

Choices:

\newline

(A)

{x | x \geq -36}

\newline

(B)

{x | x \leq 4}

\newline

(C)

{x | x \geq 0}

\newline

(D)all real numbers

Function Domain Definition: The domain of a function refers to the set of all 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 Quadratic Function: To confirm the domain of the quadratic function $y = x^2 - 8x - 20$ , we need to check if there are any restrictions on the $x$ -values. Since there are no square roots, logarithms, or any other operations that might restrict the domain in the given function, we can conclude that $x$ can take any real value.
Confirm Domain Conclusion: Therefore, the domain of the function $y = x^2 - 8x - 20$ is all real numbers, which corresponds to choice ( $D$ ) in the given options.