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In order that a relation R defined on a non-empty set A is an equivalence relation. It is sufficient, if R

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PRADEEP PUBLICATION-RELATIONS AND FUNCTIONS-EXERCISE
  1. if 'f' is the function form R to R defined by the rule f(x) = x^2 - 3 ...

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  2. Consider the function f(x) = x^2 defined on R. find the set f^-1 (1,-1...

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  3. In order that a relation R defined on a non-empty set A is an equivale...

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  4. If f(x) = (x -2)/(x-3), x ne 3, Examine whether f(x) is invertible or ...

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  5. In order that a relation R defined on a non-empty set A is an equivale...

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  6. A vertical line meets the graph of a function in:

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  7. What is the range of the signum function?

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  8. if f(x) = |x+1| and g(X) = 3x^2 - 2, then find formulae for the functi...

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  9. Function f : R rarr R f(x) = 3 x -5 is

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

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  11. Consider the function f : R - (-1) rarr R - (-1) defined by the rule f...

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  12. Write down the domain of the function f defined by f(x) = sqrt(25-x^2)

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  13. If A = (a,b,c,d) and f corresponds to the subset (a,b),(b,d),(c,a),(d,...

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  14. If g={(1,1),(2,3),(3,5),(4,7)} is a function described by the formula ...

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  15. Prove that: {:|(a^2,a,b+c),(b^2,b,c+a),(c^2,c,ab)| = -(a+b+c)(a-b)(b...

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  16. Let f : R rarr R be defined by f(x) = 1/x AA x inR, then f is

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  17. If f : R rarr R is defined by f(x) = x^2 - 3x + 2, find f(f(x)).

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  18. If f. g : R rarr R are defined respectively as f(X) = 2x + 1 and g (x)...

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  19. Are the following sets of ordered pairs functions? (x,y) : x is a pers...

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  20. Are the following sets of ordered pairs functions? (a,b), a is a pers...

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