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f : Rto R, then f ( x ) = x |x|...

` f : Rto R, ` then ` f ( x ) = x |x| ` will be

A

maney - one - onto

B

one - one - onto

C

many -one -into

D

one - one - into

Text Solution

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The correct Answer is:
B
Given ` f : R to R, f ( x ) = x|x| `
Redefined the function,
` f ( x ) = {{:( - x^ 2 ,",", x lt 0 ), ( 0,",", x = 0 ) ,( x^ 2 ,"," , x gt0 ) :} `

The gaph of `f (x ) ` show that it is a bijective ( one - one - onto ) function.
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