Question

. Let f:R → R be a function defined as f(x) = x|xl;
for each x belong to R, R being the set of real numbers.
Which one of the following is correct?
(a) fis one-one but not onto
(b) fis onto but not one-one
(c) f is both one-one and onto
(d) fis neither one-one nor onto​

Answer 1

Answer:

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FROM OTHER I'D

Answer 2

Answer:

f(x

1

)=f(x

2

)

⇒(x

1

)

2

=(x

2

)

2

⇒(x

1

)

2

−(x

2

)

2

=0

⇒(x

1

−x

2

)(x

1

+x

2

)=0

x

1

=x

2

& x

1

=−x

2

Hence f(x) is a many one function

The domain of f(x) is R while its range is R

+

Hence, option 'D' is correct.

Step-by-step explanation:

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