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Show that the function f: R->R given by ...

Show that the function `f: R->R` given by `f(x)=cosx` for all `x in R` , is neither one-one nor onto.

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ICSE-RELATIONS AND FUNCTIONS-EXERCISE 2 (d)
  1. A function f given as f:{(2,7),(3,4),(7,9),(-1,6),(0,2),(5,3)}. Is thi...

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  2. Determine if each function is one-one. To each person on the earth a...

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  3. Determine if each function is one-one. To each country in the world ...

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  4. Determine if each function is one-one. To each country in the world ...

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  5. Determine if each function is one-one. To each country in the world ...

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  6. Let f:AtoB. Find f(A), i.e, the range of f, if f is an onto function.

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  7. Show that the function f: R->R given by f(x)=cosx for all x in R , is...

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  8. Let A={-1,1}. Let functions f, g and h of A be defined by : (i) f(x)...

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  9. Given, A = {2,3,4}, B={2,5,6,7}. Construct an example of each of the f...

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  10. Given A={2,3,4},B={2,5,6,7}, construct an example of each the followin...

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  11. Given, A = {2,3,4}, B={2,5,6,7}. Construct an example of each of the f...

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  12. Are the following sets of ordered pairs functions? If so, examine whet...

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  13. Are the following set of ordered pairs functions? If so, examine whe...

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  14. The function f: NvecN(N is the set of natural numbers) defined by f(n)...

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  15. Let A={x=0lexle2} and B={1}. Give an example of a function from A to ...

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  16. Prove that the function f:RtoR,f(x)=x^(2)+x is a many-one into functio...

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  17. Let A={1,2,3},B=4,5,6,7} and let f={(1,4),(2,5),(3,6)} be a function f...

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  18. Show that the function f:RtoR:f(x)=3-4x is one-one onto and hence bije...

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