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The function f:RrarrR defined by f(x)=(x...

The function `f:RrarrR` defined by `f(x)=(x-1)(x-2)(x-3)` is :

A

A. `[0,pi]` and `[-1,1]`

B

B. `[-(pi)/(2),(pi)/(2)]` and `[-1,1]`

C

C. `[-(pi)/(2),(pi)/(2)]` and [0,1]

D

D. `[0,pi]` and [0,1]

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The correct Answer is:
A
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PUNEET DOGRA-FUNCTIONS-PREV YEAR QUESTIONS
  1. If f(x) = (x)/(x-1) then what is f ( a)/(f(a+1)) equal to:

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  2. A function f is defined by f(x)=x+(1)/(x). Consider the following. (...

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

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  4. Let f(x) = px + q and g(x) = mx +n. Then f (g(x)) = g (f(x)) is equiva...

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  5. A function f is defined by f(x)=x+(1)/(x). Consider the following. (...

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  6. The domain of the function f(x)=(1)/(sqrt(x^(2)-3x+2)) is

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  7. What is the range of the function f(x)=x^(2)+3x-5 in the domain x in[0...

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  8. If x(1),x(2),….x(20) are in H.P then x(1)x(2)+x(2)x(3)+….+x(19)x(20)=

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  9. The function f(x) = (x^(2)-4)/(sin x-2) is

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  10. The function f(x) = (x^(2)-4)/(sin x-2) is

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  11. If f be greatest integer function defined asf(x)=[x] and g be the mdou...

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  12. If f be greatest integer function defined asf(x)=[x] and g be the mdou...

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  13. If p(x) is a common multiple of degree 6 of the polynomials f(x) = ...

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  14. The domain of the function f(x)=(1)/(sqrt(x^(2)-3x+2)) is

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  15. f(xy) = f(x) + f(y) is true for all

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  16. Let R rarr R be a function defined as f(x) = |x| for each x in R . - ...

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  17. If f: R rarr -R. g : R rarr R be two functions given by f(x) = 2x-3 an...

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  18. Find the derivatives of the following (1-3) functions : f(x) = x+a

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  19. If f(x) =(4x+x^(4))/(1+4x^(3)) and g(x) = In (1+x)/(1-x) t then what...

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  20. Let f(x)=(1)/(1+|x|); x in R the range of f is

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