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Let A={1,2,3,4,5} and R be a relation on...

Let `A={1,2,3,4,5}` and R be a relation on A
defined by `R={(a,b):b=a^2}`
Write R in the roster form.

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MAXIMUM PUBLICATION-Relations and Functions-EXAMPLE
  1. Consider the real function f(x)=(x^2+2x+3)/(x^2-8x+12) Find the do...

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  2. If f(x)=x^3+5x and g(x)=2x+1,find (f+g)(2) and (fg)(1).

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  3. Let A={1,2,3,4,5} and R be a relation on A defined by R={(a,b):b=a^2...

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  4. Let A={1,2,3,4,5} and R be a relation on A defined by R={(a,b):b=a^2...

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  5. Draw the graph of the function f(x)=abs[x]+1,x in R

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  6. Draw the graph of the function f(x)=x^2,x in R

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  7. Let A={1,2,3,4,6}.Let R be the relation on A defined by R={(a,b):a,b...

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  8. Let A={1,2,3,4,6}.Let R be the relation on A defined by R={(a,b):a,b...

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  9. Let A={1,2,3,4,6}.Let R be the relation on A defined by R={(a,b):a,b...

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  10. Determine the domain and range of the relation R defined by R={(x,...

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  11. A function f is defined as f(x)=2x-5. Write down the values of f(0),...

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  12. Find the range of the following functions. f(x)=2-3x,x in R,x>0

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  13. Find the range of the following functions. f(x)=x^2+2,x is a real nu...

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  14. Find the range of the following functions. f(x)=x,x is a real number...

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  15. Let A={1,2},B={1,2,3,4},C={5,6} and D={5,6,7,8}.Verify that Axx(Bn...

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  16. Let A={1,2},B={1,2,3,4},C={5,6} and D={5,6,7,8}.Verify that AxxC i...

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  17. The arrow diagram given below shows a relation R from P to Q. Write ...

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

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  19. Find the domain of the following. f(x)=(x^2+3x+5)/(x^2-5x+4)

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  20. Let f(x)=sqrtx and g(x)=x be two functions defined over the set of n...

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