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If f : R rarr R, defined as f(x) = sin([...

If `f : R rarr R`, defined as `f(x) = sin([x]pi)/(x^2 + xz + 1)`, where [x] is the greatest integer less than or equal to x, then

A

f is one-one

B

f is many-one

C

f is into

D

f is onto

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The correct Answer is:
B, C
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PATHFINDER-FUNCTION-QUESTION BANK
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  2. The graph of the equation y + |y| - x - |x| = 0 is represented by

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

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

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

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

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

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

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

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

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

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

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

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  14. 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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  15. 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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  16. 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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  17. For all real values of x and y, 2f(x) cosy = f(x + y) + f(x - y) and b...

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  18. For all real values of x and y, 2f(x) cosy = f(x + y) + f(x - y) and b...

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  19. For all real values of x and y, 2f(x) cosy = f(x + y) + f(x - y) and b...

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  20. Match List - I with List-II

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