What is the domain of this quadratic function? y = x^2 - 10x + 25 Choices: (A){x | x ≥ 5} (B){x | x ≤ 5} (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 the function and get a real number out.Confirming Domain of Quadratic Function: To confirm this, we can look at the given quadratic function y = x^2 - 10x + 25. There are no restrictions on the x-values that can be used in this function. There are no square roots, logarithms, or any other operations that would restrict the domain. Therefore, the domain is all real numbers.Matching Domain to Choices: Since the domain is all real numbers, we can match this to the given choices. The correct choice that represents all real numbers is (D) all real numbers.

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What is the domain of this quadratic function? $\newline$ $y = x^2 - 10x + 25$ $\newline$ Choices: $\newline$ (A) $\{x | x \geq 5\}$ $\newline$ (B) $\{x | x \leq 5\}$ $\newline$ (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 - 10x + 25

\newline

Choices:

\newline

(A)

\{x | x \geq 5\}

\newline

(B)

\{x | x \leq 5\}

\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 the function and get a real number out.
Confirming Domain of Quadratic Function: To confirm this, we can look at the given quadratic function $y = x^2 - 10x + 25$ . There are no restrictions on the $x$ -values that can be used in this function. There are no square roots, logarithms, or any other operations that would restrict the domain. Therefore, the domain is all real numbers.
Matching Domain to Choices: Since the domain is all real numbers, we can match this to the given choices. The correct choice that represents all real numbers is (D) all real numbers.