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The parent function for a radical function is ( f(x) = \sqrt{x} ). This function defines the basic shape and behavior of all radical functions, which involve square roots or other roots. It has a domain of ( x \geq 0 ) and a range of ( y \geq 0 ), starting at the origin (0,0) and increasing gradually. Transformations such as vertical and horizontal shifts, stretching, or reflections can be applied to this parent function to create more complex radical functions.

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1d ago

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Related Questions

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A function that has a variable under a radical sign.


The function h(x) is a transformation of the square root parent function, f(x) = \sqrt xf(x)= x​ . What function is h(x)?

The square root function is one of the most common radical functions, where its graph looks similar to a logarithmic function. Its parent function will be the most fundamental form of the function and represented by the equation, y =sqrt {x}.


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The diagonal of a unit square, for example, is radical(2).


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When a function is nested inside another function, the outer one is the parent, the inner is the child.


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