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Let f :RrarrR be a function defined by f...

Let `f :RrarrR` be a function defined by `f(x) = x^3 + x^2 + 3x + sin x`. Then f is

A

one – one & onto

B

one – one & into

C

many one & onto

D

many one & into

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The correct Answer is:
A
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MOTION-FUNCTION-Exercise - 1 ( JEE Main)
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  2. Let f: RrarrR be a function defined by f(x)=(2x^2-x+5)/(7x^2+2x+10) th...

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  3. Let f :RrarrR be a function defined by f(x) = x^3 + x^2 + 3x + sin x. ...

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  4. If f(x) = (4a-7)/3 x^3+(a-3)x^2 +x+5 is one-one function

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  5. The function f : (-oo, 3] to (o,e ^(7)] defined by f (x)=e ^(x^(3)-3x^...

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  6. f : R -> R, where f(x)=(x^2+ax+1)/(x^2+x+1) Complete set of values of ...

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  7. The function f(x)=log((1+sinx)/(1-sinx)) is

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  8. It is given that f(x) is an even function and satisfy the relation f(x...

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  9. If the function / satisfies the relation f(x+y)+f(x-y)=2f(x),f(y)AAx ,...

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  10. Let f(x)=abs(x-1)+abs(x-2)+abs(x-3)+abs(x-4), then

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  11. Fundamental period of f(x)=sec(sin x) is

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  12. The period of sin(pi/4)x+cos(pi/2)x+cos(pi/3)x is

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  13. Let f(x)=x(2-x), 0<=x<=2. If the definition of f is extended over the ...

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  14. The peroid of the function f(x) =(|sinx|-|cosx|)/(|sin x + cosx|) i...

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  15. Which of the following is implicit functions -

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  16. I fy=f(x) satisfies the condition f(x+1/x)=x^2+1/(x^2)(x!=0) then f(x...

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  17. If f(x) = a(x^n +3), f(1) = 12, f(3) = 36, then f(2) is equal to

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  18. Let f:(2,4)->(1,3) be a function defined by f(x)=x-[x/2], thenf^(-1)(x...

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  19. Let f(x) = (x+1)^(2) - 1, (x ge - 1). Then, the set S = {x : f(x) = f^...

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  20. A function f : R->R satisfies the condition x^2f(x)+f(1-x)=2x-x^4. The...

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