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A function f is such that f(x+1)=f(x)+f(...

A function `f` is such that `f(x+1)=f(x)+f(1)+1` for all real values of `x`. Find `f(0)` If it is given that `f(1)=1,` find `f(2),f(3) and f(-1)`.

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The correct Answer is:
`f(0)=-1,f(1)=1,f(2)=3,f(3)=5,f(-1)=-3`.
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MARVEL PUBLICATION-SETS, RELATIONS AND FUNCTIONS-MCQs
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  2. If A={w,o,l, f}, B={f,l,o,w}, C={f,o,w,l} and D=({f,o,l,l,o,w}, then

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  3. If A={x|x in R,x ge3} and{x|x inR,x lt4}, then: A capB=

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  4. If A={1,2,3},B={2,4,6,8} andC={2,4,5,6}, then: a cap(BcupC)=

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  5. If A={x:x" is a multiple of 3"} and B={x:x" is a multiple of 5"}. Th...

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  6. If aN={ax|x in N}, then: 3Ncap7N=

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  7. Find the smallest set A such that Auu{1,2}={1,2,3,5,9}dot

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  8. If A={2,3},B={4,5}andC={5,6}, then n{(AxxB)uu(BxxC)} is

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  9. If A = {1,2,3}, B = {3,4} , C = {4,5,6}, then number of elements in t...

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  10. If A={x|x^2-5x+6=0}, then the power set of A is

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  11. The number of non-empty subset of {0,1,2,3} is

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  12. If A={0,1,2,3,4}, then the number of proper subsets of A is

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  13. Which of the following is the empty set

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  14. If A={4^(n)-3n-1:n in N) and B={9(n-1):n in N} then

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  15. Two finite sets have m and n elements. The total number of subsets of ...

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  16. If A={1,2,3,4,5} andB={2,3,6,7}, then the number of elements in the se...

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  17. If A={1,2,3},B={4,5,6} and C={1,2}, then: (A-B)xx(AcapC)=

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  18. If A and B are any two sets then A-B=AnnB'

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  19. If A and B are any two sets then: (AcupB)-(AcapB)=

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  20. If A and B are two such that AcupB=AcapB, then

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  21. If X and Y are any two sets, then: Xcap(XcupY)=

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