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A mapping f: R rarr R which is defined a...

A mapping f: R `rarr` R which is defined as f(x) = cos x: x `in` R is:

A

One-one only

B

Onto only

C

One-one onto

D

Neither one-one nor onto

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The correct Answer is:
D
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PUNEET DOGRA-FUNCTIONS-PREV YEAR QUESTIONS
  1. A mapping f: R rarr R which is defined as f(x) = cos x: x in R is:

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  2. Let f(x)=x^(2)+2x-5 and g(x)=5x+30 What are the roots of the equatio...

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  3. Let f(x)=x^(2)+2x-5 and g(x)=5x+30 Consider the following statements...

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  4. Let f(x)=x^(2)+2x-5 and g(x)=5x+30 If h(x) = 5f(x)- xg(x), then what...

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  5. Which one of the following is the second degree polynomial function f(...

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  6. Let f(x) =x^(2) ,g(x)=tan x and h(x)=ln x For x = sqrt(pi)/(2) what...

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  7. Let f(x) =x^(2) ,g(x)=tan x and h(x)=ln x What is [(fofof)](2)=

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  8. Integrate the function f(x)=(sin x)/(1+cos^2x)

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  9. Consider the function h(x)=cos (4x)/(5) What is the period of funct...

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  10. What is the period of the function f(x)=sin x?

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  11. If f(x) = (x-2)/(x+2) x ne -2 is then f'(x) equal to?

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  12. For r gt 0, f(r) is the ratio of perimeter to area of a circle of radi...

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  13. If f(x)=(2^(x)+2^(-x))/(2), then f(x+y).f(x-y) is equal to

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  14. The domain of the function sqrt((2-x)(x-3))

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  15. A function f defined by fix)=In (sqrt(x+1-x)) is

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  16. if f(x) = sqrt( x-1)/(x-4) defines a function of R. then what is domai...

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  17. A function f : R rarr R satisfies the equation f(x+y) = f(x). f(y...

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  18. Let f(x) be a quadratic expression, which is positive for all real x. ...

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  19. If tan^2 y cosec^2 x – 1 = tan^2 y, then which one of the following is...

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  20. The number of solutions for the equation x^2 - 5|x| + 6 = 0 is :

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  21. What is the period of the function f(x)=sin x?

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