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Let f be the subset of Z xxZdefined by f...

Let f be the subset of `Z xxZ`defined by `f = {(a b , a + b) : a , b in Z}`. Is f a function from Z to Z? Justify your answer.

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The correct Answer is:
Is is not a function
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NAGEEN PRAKASHAN-RELATIONS AND FUNCTIONS-Exercise 2C
  1. Let f be the subset of Z xxZdefined by f = {(a b , a + b) : a , b in ...

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  2. Examine each of the following relations given below and state in each...

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  3. If X={(1,2,3,4,5} and Y={1,3,5,7,9}, then find which of the following ...

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  4. Let R be a relation defined on the set of natural numbers as: R={(x,...

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  5. Express each relation in the form of ordered pair and check whether is...

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  6. A function f: R to R is defined as: f(x) ={{:(1,x in Q),(-1,x notinQ...

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  7. Find which of the following are the function on set A={a,b,c} ? Give r...

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  8. A function f: R to R is defined asf(x)=x^(2)-1. Evaluate each of the f...

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  9. If A={-3,-2,-1,0,1,2,3} and f:A to Z is a function which of the follow...

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  10. If A={1,2,3,4},B={1,5,9,11,15,16} and f={(1,5),(2,9),(3,1),(4,5),(2,11...

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  11. If A={9,10,11,12,13} and a function f:A to N is defined as f(n)=larges...

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  12. If A={1,2} and B={3,6} and two functions f: A to B and g: A to B are d...

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  13. Express the following functions in the form of order pairs and find th...

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  14. If a function f:R to R is defined as f(x)=x^(2)+1, then find each of t...

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  15. Let a function f:R^(+) to R is defined as f(x)="log"(e)x, then find ea...

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  16. A function F(c) is defined as : F(c) =(9)/(5)*c+32. Evaluate each ...

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  17. If f(x)=2x-5 , then evaluate the following: (i) f(0) (ii) f(7) (...

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  18. If f(x)=x^(2), then evaluate: (f(1*2)-f(1))/(1*2-1)

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  19. If f(x)=x^(2) , then evaluate : (f(x+1)-f(x-1))/(4x)

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  20. If f(x)=(x)/(x-1), then evaluate : (f(a//b))/(f(b//a))

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