. 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
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Answered by
2
Answer:
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Answered by
1
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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