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The relation 'f' is defined by f(x)={(x^...

The relation 'f' is defined by `f(x)={(x^2,0lexle3), (3x, 3lexle10):}` The relation 'g' is defined by `g(x)= {(x^2,0lexle2), (3x, 2lexle10):}` Show that 'f' is a function and 'g' is not a function.

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PSEB-RELATIONS AND FUNCTIONS -EXERCISE
  1. The function 't' which maps temperature in degree Celsius into tempera...

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  2. The function 't' which maps temperature in degree Celsius into tempera...

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  3. Find the range of the following function:- f(x) = 2 - 3x, x in R, x > ...

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  4. Find the range of the following function:- f(x) = x^2 + 2, x is a real...

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  5. Find the range of the following function:- f(x) = x, x is a real numbe...

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  6. The relation 'f' is defined by f(x)={(x^2,0lexle3), (3x, 3lexle10):} ...

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

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

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  9. Find the domain and the range of the real function 'f' defined by f(x)...

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  10. Find the domain and the range of the real function 'f' defined by f(x)...

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  11. Let f= {(x, x^2/(1+x^2)): x in R} be a function from R into R. Determi...

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

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

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  14. Let R be a relation from N to N defined by R = {(a, b) : a, b in N and...

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  15. Let R be a relation from N to N defined by R = {(a, b) : a, b in N and...

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  16. Let R be a relation from N to N defined by R = {(a, b) : a, b in N and...

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  17. 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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  18. 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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  19. Let f be the subset of Z xx Z defined by f={(ab, a+ b) : a, b in Z}.Is...

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

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