Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

What is the domain of this quadratic function?\newliney=x2+6x+9y = x^2 + 6x + 9\newlineChoices:\newline(A){xx3}\{x | x \geq -3\}\newline(B){xx0}\{x | x \geq 0\}\newline(C){xx3}\{x | x \leq -3\}\newline(D)all real numbers

Full solution

Q. What is the domain of this quadratic function?\newliney=x2+6x+9y = x^2 + 6x + 9\newlineChoices:\newline(A){xx3}\{x | x \geq -3\}\newline(B){xx0}\{x | x \geq 0\}\newline(C){xx3}\{x | x \leq -3\}\newline(D)all real numbers
  1. Function Domain Definition: The domain of a function refers to the set of all possible input values (xx-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. Quadratic Function Domain: Since the function y=x2+6x+9y = x^2 + 6x + 9 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.

More problems from Domain and range of quadratic functions: equations