1.

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

Answer»

f is one-one onto
f is many one
f is one-one but not onto
f is neither one-one nor onto

Solution :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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