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If f: N to W is such that f(n) = {{:(n/2...

If `f: N to W` is such that `f(n) = {{:(n/2, "if n is even"),(0,"if n is odd"):}`, then f is

A

a bijection

B

one-one but not onto

C

onto but not one-one

D

neither one-one nor onto

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The correct Answer is:
C
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AAKASH SERIES-FUNCTIONS -EXERCISE -II
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  2. If f: C to C where C is set of complex numbers and f(z)=|z|, then/ ...

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  3. If f: C to C such that f(z) =z-barz, AA z in C, then f is:

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  4. If RR rarrC is defined by f(x)=e^(2ix)" for x in RR then, f is (where ...

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  5. If R is the set of all real numbers and if f: R -[2] to R is defined b...

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  6. Let Q be the set of all rational number in [0, 1] and f:[0, 1]rarr[0, ...

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  7. If f: R to R is defined by f(x) = 2x+|x|, then f(3x) -f(-x)-4x=

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  8. If f(x)=(25-x^(4))^(1//4) for 0 lt x lt sqrt5 then f(f((1)/(2)))=

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  9. {x in R: x-[x] =5}=

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  10. The domain of f(x) =1/6sqrt(log(10)(5x-x^(2)) is

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  11. If f: [2,infty) to B defined by f(x) =x^(2)-4x+5 is a bijection, then ...

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  12. If f: N to W is such that f(n) = {{:(n/2, "if n is even"),(0,"if n is ...

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  13. If f:R rarr R, g:R rarr R are defined by f(x)= 5x-3,g(x)=x^(2)+3, then...

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  14. If A={x inR//(pi)/(4)lexle(pi)/(3)} and f(x)=sinx-x, then f(A) is equa...

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  15. If f(x) is a real function defined on [-1,1], then the function g(x) =...

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  16. If f:NtoR is defined by f(1) = - 1 and f(n+1) = 3f(n) + 2 for nge1, th...

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  17. The domain of the function f(x)=sqrt(log(0.5) X !)

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  18. If f(x)=|x-1|+|x-2|+|x-3|,2 lt x lt 3, then f is

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  19. If f(x) = x^(2) - 2x + 4 then the set of values of x satisfying f(x - ...

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  20. The number of real linear functions f(x) satisfying f(f(x)) = x + f(x)...

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