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a function of the form $y = ax^2 + bx + c$, where $a$, $b$, and $c$ are…

Question

a function of the form $y = ax^2 + bx + c$, where $a$, $b$, and $c$ are constants and $a$ is not zero, is called a ______ function.

the complete set of all possible input values (x-values) for which a function is defined is known as the ______.

the complete set of all possible output values (y-values) that a function can produce is known as the ______.

Explanation:

Brief Explanations
  1. The given form $y=ax^2+bx+c$ ($a

eq0$) is the standard definition of this specific polynomial function.

  1. The set of all valid input $x$-values for a function is a core terminology in function theory.
  2. The set of all possible output $y$-values from a function is another fundamental function terminology.

Answer:

  1. quadratic
  2. domain
  3. range