It looks like you're referencing the function \( Y = x^{1/2} \). This expression represents the square root function, which can also be written as \( Y = \sqrt{x} \).
Properties of the Function \( Y = \sqrt{x} \):
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Domain: The domain of \( Y = \sqrt{x} \) is \( x \geq 0 \) because the square root of a negative number is not defined in the set of real numbers.
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Range: The range is also \( Y \geq 0 \) since the square root function yields non-negative results.
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Graph: The graph of \( Y = \sqrt{x} \) is a curve that starts at the origin (0, 0) and increases gradually as \( x \) increases. It approaches infinity as \( x \) approaches infinity.
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Behavior: The function is increasing, meaning that as \( x \) increases, \( Y \) also increases.
If you have specific questions about this function or if you need further information or context, feel free to ask!