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For each non-zero real number x, let f(x...

For each non-zero real number x, let `f(x)=(x)/(|x|)`. 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

Text Solution

Verified by Experts

The correct Answer is:
C
For a non-zero real number x
`f(x)=(x)/(|x|)`
domain `f(x)=(x)/(|x|)` range

for any value of x in domain a set consisting of two elements i.e. (-1, +1)
`therefore` Option (c ) is correct.
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