Wagner May
06/11/2024 · Middle School
\( g(x)=\sqrt{2-x} \) lassify the given function as a polynomial function, rational function, or root fur
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The function \( g(x) = \sqrt{2 - x} \) is classified as a **root function** because it involves a square root. Root functions are characterized by having a variable inside a root (in this case, the square root of \( 2 - x \)).
It is not a polynomial function because polynomial functions consist of terms that are non-negative integer powers of the variable (e.g., \( ax^n + bx^{n-1} + \ldots + c \)), and it is not a rational function because rational functions are ratios of two polynomials.
Thus, the classification of \( g(x) \) is a **root function**.
Quick Answer
The function \( g(x) = \sqrt{2 - x} \) is a root function.
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