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Determine whether the function f : R to ...

Determine whether the function `f : R to ` R defined by
`f (x) = {{:( x "," , if x gt 2),( 5x -2 "," , if x le 2):}`
is an injection or a surjection or a bijection

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The correct Answer is:
`because` f ins not an injection `=>` It is not a bijection
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VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-FUNCTIONS -TEXTUAL EXERCISES (EXERCISE-1 (C)
  1. Determine whether the function f : R to R defined by f (x) = {{:( x...

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  2. Find the domains of the followings real valued functions: (i) f(x) =...

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  3. Find the domains of the followings real valued functions: (i) f(x) =...

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  4. Find the domain of the following real valued functions: (i) f(x) =1/...

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  5. Find the domains of the real valued function f (x) = |x -3|

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  6. Find the domains fo the following real valued functions: (i) f(x) = ...

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  7. Find the domain of the following real valued functions: (i) f(x) =1/...

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  8. Find the domains of the real valued function f (x) = (3 ^(x))/(x +1)

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  9. Find the domain of the following real valued functions: (i) f(x) = s...

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  10. Find the domains fo the following real valued functions: (i) f(x) = ...

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  11. Find the domains fo the following real valued functions: (i) f(x) = ...

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  12. Find the range of the function f(x) =log|4-x^(2)|

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  13. Find the ranges of the real valued function sqrt ([x]-x)

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  14. Find the ranges of the real valued function (sin pi [x])/(1 + [x] ^(...

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  15. Find the range of the function (x^(2)-4)/(x-2)

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  16. Find the ranges of the real valued function sqrt (9 -x ^(2))

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  17. If f and g are real valued functions define by f(x)=2x-1 and g(x)=x^(2...

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  18. If f and g are real valued functions define by f(x)=2x-1 and g(x)=x^(2...

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  19. If f and g are real valued functions define by f(x)=2x-1 and g(x)=x^(2...

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  20. If f and g are real valued functions defined by f(x) = 2x -1 and g(x) ...

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  21. If f={(1,2),(2,-3),(3,-1) then find (i) 2f.

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