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What is the fundamental difference betwe...

What is the fundamental difference between a function and a relation ? Let `X={1,2,3,4}` and `Y={1,5,9,11,15,16}`. Determine which of the following sets are :
(i) relation (ii) function (iii) neither

A

`f_(1)={(x,y):y=x^(2),x inX,yinY}`

B

`f_(2)={(1,1),(2,11),(3,1),(4,15)}`

C

`f_(3)={(1,5),(2,9),(3,1),(4,5),(2,11)}`

D

`f_(4)={(1,1),(2,7),(3,5)}`

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ICSE-RELATIONS AND FUNCTIONS-EXERCISE 2 (c)
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  2. State for each of the following relations whether it is function or no...

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  3. The ordered pairs are represented by the points shown. For each diagra...

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  6. A={-2,-1,1,2} and f={(x,(1)/(x)),x inA} List the range of f

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  7. A={-2,-1,1,2} and f={(x,(1)/(x)),x inA} List the range of f

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  8. A={-2,-1,1,2} and f={(x,(1)/(x)),x inA} Is f a function?

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  9. f:xto highest prime factor of x. Find the range of f when the domain...

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  10. f:xto highest prime factor of x. State a domain of five integers for...

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  11. f:xto highest prime factor of x. A set of positive integers is calle...

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  12. For xgt3,f(x)=3x-2 and for -2lexle2,f(x)=x^(2)-2, find f(0)+f(4)

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  13. If f:RtoR defined by f(x)={(4x-1" for " xgt4),(x^(2)-2" for "-2lexlt4)...

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  14. What is the fundamental difference between a function and a relation ?...

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  15. A certain jet plane has an average speed of 500 km per hour. It can ca...

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  16. A certain jet plane has an average speed of 500 km per hour. It can ca...

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  17. A certain jet plane has an average speed of 500 km per hour. It can ca...

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  18. A certain jet plane has an average speed of 500 km per hour. It can ca...

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  19. The domain of a function is the set of positive integers less than 12....

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  20. Let X={2,3} and Y={1,3,5}. How many diferent functions are there from ...

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