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Function f :R->R,f(x) = x|x| is...

Function `f :R->R,f(x) = x|x|` is

A

One - one but not onto

B

Onto but not one -one

C

One -one onto

D

Neither one - one nor onto

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The correct Answer is:
C
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AAKASH INSTITUTE-RELATIONS AND FUNCTIONS -Assignment (Section - A) Objective Type Questions (one option is correct)
  1. Let E = {1, 2, 3, 4} and F = {1, 2}. Then the number of onto functions...

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  2. If f : R rarr R, f(x) = 1/(x^2 - 1), then domain is

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  3. Function f :R->R,f(x) = x|x| is

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  4. domain of f(x) = (x^(2))/(1-x^(2)), is

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  5. Let f : N rarr N be defined as f(x) = 2x for all x in N, then f is

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  6. Let A ={1,2,3,4,5,6} . Define a relation R from A to A by R = {(...

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  7. Let f(x) = [x] and g(x) = x - [x], then which of the following functi...

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  8. Function f : R rarr R, f(x) = x + |x|, is

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  9. Function f : [(pi)/(2), (3pi)/(2)] rarr [-1, 1], f(x) = sin x is

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  10. Function f[(1)/(2)pi, (3)/(2)pi] rarr [-1, 1], f(x) = cos x is

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  11. If f : R rarr R, f(x) = sin^(2) x + cos^(2) x, then f is

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  12. If function f(x) = (1+2x) has the domain (-(pi)/(2), (pi)/(2)) and co-...

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  13. The function f : (0, oo) rarr [0, oo), f(x) = (x)/(1+x) is

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  14. If f(x) = x/(x-1)=1/y then the value of f(y) is

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  15. gof exists, when :

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  16. If f : R rarr R, f(x) = x^(2) + 2x - 3 and g : R rarr R, g(x) = 3x - 4...

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  17. If f : R rarr R, f(x) = x^(2) - 5x + 4 and g : R^(+) rarr R, g(x) = lo...

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  18. If f : R - {1} rarr R, f(x) = (x-3)/(x+1), then f^(-1) (x) equals

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  19. If function f : R rarr R^(+), f(x) = 2^(x), then f^(-1) (x) will be eq...

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  20. If f(x) = 2 sinx, g(x) = cos^(2) x, then the value of (f+g)((pi)/(3))

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