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What is the domain of this quadratic function?\newliney=x2−6x+8y = x^2 - 6x + 8\newlineChoices:\newline(A){x∣x≤3}\{x | x \leq 3\}\newline(B){x∣x≥3}\{x | x \geq 3\}\newline(C){x∣x≥−1}\{x | x \geq -1\}\newline(D)all real numbers

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Q. What is the domain of this quadratic function?\newliney=x2−6x+8y = x^2 - 6x + 8\newlineChoices:\newline(A){x∣x≤3}\{x | x \leq 3\}\newline(B){x∣x≥3}\{x | x \geq 3\}\newline(C){x∣x≥−1}\{x | x \geq -1\}\newline(D)all real numbers
  1. Definition of Domain: The domain of a function refers to the set of all possible input values (xx-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.
  2. Quadratic Function Domain: Since there are no restrictions on the xx-values for a quadratic function like y=x2−6x+8y = x^2 - 6x + 8 (no square roots or denominators that could become zero), the domain is all real numbers.

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