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What is the domain of this quadratic function?\newliney=x2−16x+64y = x^2 - 16x + 64\newlineChoices:\newline(A)x∣x≥8{x | x \geq 8}\newline(B)x∣x≤8{x | x \leq 8}\newline(C)x∣x≥0{x | x \geq 0}\newline(D)all real numbers

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Q. What is the domain of this quadratic function?\newliney=x2−16x+64y = x^2 - 16x + 64\newlineChoices:\newline(A)x∣x≥8{x | x \geq 8}\newline(B)x∣x≤8{x | x \leq 8}\newline(C)x∣x≥0{x | x \geq 0}\newline(D)all real numbers
  1. Quadratic Function Domain: The domain of a function is the set of all possible input values ( extit{x}-values) for which the function is defined. For any quadratic function in the form y=ax2+bx+cy = ax^2 + bx + c, where aa, bb, and cc are real numbers, the domain is always all real numbers because you can plug any real number into the function and get a real number out.
  2. Explanation: Since the given function y=x2−16x+64y = x^2 - 16x + 64 is a quadratic function, and there are no restrictions on the xx-values (such as square roots or denominators that could become zero), the domain is all real numbers.

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