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The function f(x) = [x] + sin x ([x] den...

The function f(x) = [x] + sin x ([x] denotes greatest integer `le` x)

A

can not take all real value

B

cannot take all the value 1

C

can take all real value

D

is defined for all x

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The correct Answer is:
A, B, D
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PATHFINDER-FUNCTION-QUESTION BANK
  1. Which of the following functions is not injective ?

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  2. If f(x) is defined on [0, 1) by f(x) = { (x, "if x is rational ), (1 -...

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  3. The function f(x) = [x] + sin x ([x] denotes greatest integer le x)

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  4. Let f : R rarr R be defined by f(x) = [x] and g(x) = (3- 2x)/4 then

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  5. If f(x) = 1/ sqrt([cosx]-[sin x])((x) denotes greatest integer le x)) ...

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  6. The graph of the equation y + |y| - x - |x| = 0 is represented by

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  7. If f : R rarr R, defined as f(x) = sin([x]pi)/(x^2 + xz + 1), where [x...

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  8. Let g(x) be a function defined on [-1, 1] so that the area of the equi...

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  9. Let f(x) = x/(1 + x^2) and g(x) = e^(-x)/(1+[x]), where [x] is the gre...

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  10. Let f(x) = log(100X)(2log10X + 2)/(-X) and g(X) = {X}, where {x} denot...

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  11. If y = f(x) = (x+2)/(x-1) then

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  12. Let f(x) be a real valued function satisfying the functional equation ...

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  13. Let f(x) be a real valued function satisfying the functional equation ...

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  14. Let f(x) be a real valued function satisfying the functional equation ...

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  15. Let (x) f1(x)-2f2(x) where f1(x) = "min"{x^2, |x|} "for"-1 le x le...

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  16. Let (x) f1(x)-2f2(x) where f1(x) = "min"{x^2, |x|} "for"-1 le x le...

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  17. Let (x) f1(x)-2f2(x) where f1(x) = "min"{x^2, |x|} "for"-1 le x le...

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  18. Let f(x) = 1/2[f(xy) + f(x/y)] for x,y in R^+ such that f(1) = 0 f'(...

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  19. Let f(x) = 1/2[f(xy) + f(x/y)] for x,y in R^+ such that f(1) = 0 f'(...

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  20. Let f(x) = 1/2[f(xy) + f(x/y)] for x,y in R^+ such that f(1) = 0 f'(...

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