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If f(x) = x + 3 where A = { 4,6,8,10} ...

If f(x) = x + 3 where A = { 4,6,8,10}
B = {7,9,11,13} and f : A `rarr` B
(i) Draw the arrow diagram
(ii) Why type of function is f.

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The correct Answer is:
one - one onto function
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FULL MARKS-RELATIONS AND FUNCTIONS -ADDITIONAL QUESTIONS SOLVED (ANSWER THE FOLLOWING QUESTIONS)
  1. Let A = { 5,6,7,8} , B = {-11,4,7,-10,-7-9,-13} and f = {(x,y): y = ...

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  2. Let A={1, 2, 3, 4, 5}, B=N and f: A to B be defined by f(x)=x^(2). Fin...

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  3. Find the domain and range of the following (i) f = {(1,2),(2,3),(3,...

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  4. Given P = {-2,-1,0,1} Q= {1,-2,6,-3} R = {x,y/y = x^(2) - 3 x in P...

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  5. Given f(x) = 3x - 2 , g(x) = 2x^(2) find (i) fog and (ii) gof what d...

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  6. If f : R rarr R is defined by f (x) = ax + 3 and g : R rarr R is def...

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  7. Given f(x) = 3 + x : g(x) = x^(2) h(x) = (1)/(x) find fo (goh)

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  8. If f(x) = x + 3 where A = { 4,6,8,10} B = {7,9,11,13} and f : A rarr...

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  9. Given A = {2,3,5}, B = {1,2,3} C = {2,5}, D = {2,3,5} check if (A ...

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  10. Study the relation given below an set builder form. Represent each of ...

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  11. State whether the following graphs represent a founction. Give reason ...

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  12. Let A={6,9,15,18,21}, B={1,2,4,5,6} and f : A to B be defined by f...

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  13. Let A = {4,6,8,10} and B= {3,4,5,6,7}. If f : A rarr B is defined by...

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  14. A function f [-3, 7] rarr R is defined as follows f(x) = {{: (4x^(2) -...

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  15. A function f:[-7, 6) to R is defined as follows. f(x)={(x^(2)+2x+1, ...

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  16. Let A={0, 1, 2, 3} and B={1, 2, 3, 5, 7, 9} be two sets. Let f: A to B...

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  17. A function f : (1,6) rarr R is defined as follows f(x) = {{: (1 + x,...

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  18. Given f(x) = 5x + 2 , g(x) = 2x - 3, h(x) = 3x + 1, Verify fo (goh ...

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  19. Given f(x) = x^(2) + 4 : g(x) = 3x - 2 : h(x) = x - 5, show that the...

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  20. Given f(x) = x - 2: g(x) = 3x + 5 : h (x) = 2x - 3. Verify that (g...

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