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State whether the following relations ar...

State whether the following relations are functions or not. If it is a function check for one- to- oneness and ontoness. If it is not a function state why?
If A= {a,b,c} and f= {(a,c) (b,c) (c,b)}: (f:A `to` A).

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SURA PUBLICATION-SETS RELATIONS AND FUNCTIONS-EXERCISE 1.3
  1. Write the values of f at -4,1,-2,7,0 if f(x)={(-x+4,if,-ooltxlt=-3),(x...

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  2. Write the values of f at -3,5,2,-1,0 if f(x)={(x^(2)+x-5, if," "x in(-...

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  3. State whether the following relations are functions or not. If it is a...

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  4. State whether the following relations are functions or not. If it is a...

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  5. Let A ={ 1,2,3,4,} and B = { a,b,c,d }. Give a function from A to B f...

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  6. Let A ={ 1,2,3,4,} and B = { a,b,c,d }. Give a function from A to B f...

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  7. Let A ={ 1,2,3,4,} and B = { a,b,c,d }. Give a function from A to B f...

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  8. Let A ={ 1,2,3,4,} and B = { a,b,c,d }. Give a function from A to B f...

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  9. Find the domain of (1)/(1-2sinx).

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  10. Find the largest possible domain of the real valued function f(x) = (s...

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  11. Find the range of the function (1)/(2cosx-1).

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  12. Show that the relation xy = -2 is a function for a suitable domain. Fi...

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  13. If f,g : RR to RR are defined by f(x) = |x| +x and g(x) = |x|-x, find ...

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  14. If f,g,h are real valued function defined on R, then prove that (f+g...

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  15. If : RR to RR is defined by f(x) = 3x-5, prove that f is a bijection a...

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  16. The weight of the muscles of a man is a function of his body weight x ...

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  17. The distance of an object falling is a function of time t and can be e...

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  18. The total cost of airfare on a given route is comprised of the base co...

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  19. A salesperson whose annual earnings can be represented by the function...

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  20. The function for exchanging American dollars for Singapore Dollar on a...

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