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Which of the following relations are functions from A to B write their domain and range if it is not a function give reason ?`f:A rarr B` is defined by `f={(1,-2),(3,7),(5,6),(9,0)},A={1,3,5,9},B={-2,7,-6,0,1,2}`

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To determine whether the relation \( f: A \to B \) defined by \( f = \{(1, -2), (3, 7), (5, 6), (9, 0)\} \) is a function, we need to check if every element in set \( A \) is associated with exactly one element in set \( B \). ### Step 1: Identify the sets A and B - Set \( A = \{1, 3, 5, 9\} \) - Set \( B = \{-2, 7, -6, 0, 1, 2\} \) ### Step 2: List the pairs in the relation The pairs in the relation are: ...
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MAHAVEER PUBLICATION-FUNCTION-QUESTION BANK
  1. Let A={1,2,3},B={3,4},C={4,5,6}, find Axx(BcupC)

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  2. Let A={1,2,3,4,….,14} Define a relation R from a set A to A by R={(x,y...

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  3. Which of the following relations are functions from A to B write their...

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  4. Which of the following relations are functions from A to B write their...

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  5. Which of the following relations are functions from A to B write their...

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  6. Which of the following relations are functions from A to B write their...

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  7. Show that the function f:N rarr N given by f(x)=3x is one one but not ...

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  8. Show that the function f:RrarrR defined by f(x)=x^(2) is neither one-o...

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  9. the function f:R rarr R defined as f(x)=x^(3) is

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  10. Show that the function f:R rarr R defined by f(x)= absx is neither one...

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  11. In each of the following case check whether the functions are one-one ...

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  12. in each of the following case check whether the functions are one one ...

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  13. find the period of the following functions: f(x)=3sin2x

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  14. find the period of the following functions: f(x)=cos(x/2)

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  15. find the period of the following functions: f(x)=tan (x/4)

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  16. find g 0 f and f 0 g if f:R rarr R and g:R rarr R are given by f(x)=...

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  17. Which of the following relations are functions? Give reasons. If it is...

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  18. which of the following relation are functions and give reason if it is...

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  19. Which of the following relations are functions? Give reasons. If it is...

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  20. if f(x)=(x-1)/abs(x-1) find the value of f(-1) and f(2)

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