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The function f is defined by f(x)={(2-...

The function f is defined by
`f(x)={(2-x,,x,<,0),(2,,x,=,0),(2+x,,x,>,0):}`
Draw the graph of Find `f(x)`

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V PUBLICATION-RELATIONS AND FUNCTIONS-QUESTIONBANK
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  2. Find the domain of the function f(x)=(x^2+3x+5)/(x^2-5x+4)

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  3. The function f is defined by f(x)={(2-x,,x,<,0),(2,,x,=,0),(2+x,,x,>...

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  4. The relation f is defined by f (x) = {(x^2, 0 le x le 3)/(3x, 3 le x l...

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  5. If f(x)=x^2, find (f(1.1)-f(1))/((1.1-1))

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  6. Find the domain of the following. f(x)=(x^2+2x+1)/(x^2-8x+12)

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  7. Find the domain and range of the following functions. f(x)=sqrt(x-...

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  8. Find the domain and range of the following functions. f(x)=abs[x-1]

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  9. Let f={(x,x^2/(1+x^2)),x in R} be a real function from R to R. Deter...

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  10. Let f,g: R rarr R be defined, respectively by f (x) = x + 1,g (x) = 2...

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  11. Let f = {(1,1), (2,3),(0, -1), (- 1, - 3)} be a function from Z to Z d...

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  12. Let R be a relation from N to N defined by R = {(a,b) in N and a = b^2...

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

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  14. Let f be the subset of Z xx Z defined by f = {(ab, a + b) : a,b in Z} ...

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  15. Let A = {9,10,11,12,13} and let f : A rarr N be defined by f (n) = the...

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  16. A relation R is defined on the set Z of integers as follows.R ={ (x, y...

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  17. Let A={1 ,2,3,4,5} and B={1,2,3, ... ., 6,7} . If R be a relation from...

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  18. Find the domain and range of the function f = {(x, (x^2 -1)/(x - 1)): ...

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  19. Let R be the relation on the set Z of all integers defined by R={(x, y...

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  20. Let f be defined by f(x)=x-4 and g be defined by g(x)=(x^2-16)/(x+4), ...

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