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Let f:R rarrR be defined as f(x) = x^4 ...

Let `f:R rarrR` be defined as f(x) = `x^4` Choose the correct answer

A

f is one-one onto

B

f is many one

C

f is one-one but not onto

D

f is neither one-one nor onto

Text Solution

Verified by Experts

The correct Answer is:
D
f(1) = `1^4` = 1
f(-1) = `(-1)^4` = 1
f(1) = f(-1) = 1
`therefore` f is not one-one
The co-domain of f is R. the range of I is `[0, infty)`. Since range of f `ne` co-domain of f, f is not onto
Hence f is neither one-one nor onto.
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