For each non-zero real number x, let \({\rm{f}}\left( {\rm{x}} \right) = \frac{{\rm{x}}}{{\left| {\rm{x}} \right|}}{\rm{\;}}\)the range of f is

A set consisting of infinitely many elements

A set consisting of only one element

A set consisting of two elements

For each non-zero real number x, let \({\rm{f}}\left( {\rm{x}} \right)

1.	For each non-zero real number x, let \({\rm{f}}\left( {\rm{x}} \right) = \frac{{\rm{x}}}{{\left\| {\rm{x}} \right\|}}{\rm{\;}}\)the range of f is
A.	A null set
B.	A set consisting of only one element
C.	A set consisting of two elements
D.	A set consisting of infinitely many elements
Answer» D. A set consisting of infinitely many elements

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