why is square root of x not a function

why is square root of x not a function If x is a non negative real number then the notation x is taken by convention to mean the unique non negative square root of x In this way the ambiguity of a positive real number possessing

Every function can be written as the composition of a surjective function namely shrinking the codomain of the function to be the image of the function followed by an inclusion Replies

why is square root of x not a function

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why is square root of x not a function
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Square Root By Long Division Method Examples FAQs
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The square root is a partial function Where a partial function is defined as Given two sets X and Y a partial function f from X to Y is a rule that de nes an element f x Y for some Lagrange found that the representation of the square root of any non square positive integer as a continued fraction is periodic

The square root function f x x has critical point at 0 0 and it has no inflection points We know we cannot take the square root of a negative number Therefore we don t want to put any negative x values in our table To further simplify our computations let s use numbers whose square root is easily calculated This

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Since the sign depends on the unknown quantity x we must ensure that we obtain the principal square root by making use of the absolute value The Square Root Function can also be written as an exponent f x x

It can be proven rather simply that this always works Explore the properties of the square function through examples with detailed solutions

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why is square root of x not a function - The square root function f x x has critical point at 0 0 and it has no inflection points