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If f(x) = x^3 + 3x^2 + 12x-2sin x, where...

If `f(x) = x^3 + 3x^2 + 12x-2sin x`, where `f : R ->R`, then

A

`f(x)` is many - one and onto

B

`f(x)` is one -one and onto

C

`f(x)` is one - one and into

D

`f(x)` is many - one and into

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The correct Answer is:
B
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FIITJEE-TIPS-ASSIGNMENT (SECTION (I): MCQ (SINGLE CORRECT)
  1. The function f(x) = tan ^-1 x - In(1 + x^2) is increasing for

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  2. A function f : R -> R^+ satisfies f(x+y)= f(x) f(y) AA x in R If f'(0)...

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  3. If f(x) = x^3 + 3x^2 + 12x-2sin x, where f : R ->R, then

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  4. y = f(x) be a real valued function with domain as all real numbers. If...

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  5. if f(x)=sqrt(sec^-1((2-|x|)/4)) then the domain of f(x) is

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  6. If f(x) ={x} + sin ax (where { } denotes the fractional part function)...

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  7. Which of the following is differentiable in the interval (1, 2)?

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  8. If f(x)=lim(n->oo)[2x+4x^3+6x^5++2n x^(2n-1)] (0ltxlt1) then int f(...

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  9. The integer n for which the lim(x to 0)(cos^(2)x-cosx-e^(x)cosx+e^(x...

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  10. If f(x)=(tan(pi/4+(log)e x))^((log)x e) is to be made continuous at x=...

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  11. Let g(x) = (x-1)^n/(log(cos^m(x-1))) ; 0 lt x lt 2 ,m and n and let p ...

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  12. If f is twice differentiable such that f"(x)=-f(x) f'(x)=g(x),h'(x)=...

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  13. lim(x->0) (tan^2[x])/([x]^2), where [] represents greatest integer fun...

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  14. lim(xrarr1^(+))(log(sqrt2)sqrt2x)^(1/({x})) where [ ] represents great...

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  15. The value of lim(xto(pi)/4)(4sqrt(2)-(cosx+sinx)^(5))/(1-sin2x) is

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  16. lim(xrarrpi)([sinx]+x) is

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  17. The slope of the tangent of the curve y=int0^x (dx)/(1+x^3) at the poi...

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  18. The slope of the tangent to a curve y=f(x) at (x,f(x)) is 2x+1. If the...

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  19. The difference between the greatest and the least values of the functi...

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  20. Let f''(x) gt 0 AA x in R and g(x)=f(2-x)+f(4+x). Then g(x) is increas...

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