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Let f : R to R be defined by f (x) = x ^...

Let `f : R to R` be defined by `f (x) = x ^(4),` then

A

f is one-one and onto

B

f may be one-one and onto

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
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TARGET PUBLICATION-SETS, RELATIONS AND FUNCTIONS-COMPETITVE THINKING
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  4. Let the function f:R to R be defined by f(x)=2x+sin x. Then, f is

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  5. Let f:N->N be defined by f(x)=x^2+x+1,x in N. Then is f is

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  6. The function f : R -> R is defined by f (x) = (x-1) (x-2) (x-3) is

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  9. Let N be the set of all natural numbers, Z be the set of all integers ...

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  10. The function f :R to R defined by f (x) = e ^(x) is

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  11. f(x)={(x", if x is rational"),(0", if x is irrational"):}, g(x...

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  12. If x ne 1 and f (x) =(x+1)/(x-1) is a real function, then f (f(f(2))) ...

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  13. Let A" "=" "{-1," "0," "1," "2} , B" "=" "{-4," "-2," "0," "2} and f,g...

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  14. If f: R toS, defined by f(x) = sin x -sqrt(3) cos x + 1, is onto then ...

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