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If A={1,2,3,4}, then which of the follow...

If `A={1,2,3,4}`, then which of the following are functions from A to itself?

A

`f_1 = {(x,y):y=x+1}`

B

`f_2 ={(x,y):x+y gt 4}`

C

`f_3 ={(x,y): y lt x}`

D

`f_4 ={(x,y): x+y =5}`

Text Solution

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The correct Answer is:
D
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ML KHANNA-FUNCTIONS-PROBLEM SET (2)
  1. Given A= {2,3,4}, B = {2,5, 6, 7). Construct an example of each of the...

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  2. Given A= {2,3,4}, B = {2,5, 6, 7). Construct an example of each of the...

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  3. If A={1,2,3,4}, then which of the following are functions from A to it...

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  4. Suppose f is the collection of all ordered pairs of real numbers and x...

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  5. Is g = {(1, 1), (2, 3), (3, 5), (4,7)} a function ? If this is describ...

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  6. Is the function f:N to N (N is set of the natural numbers) defined by...

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  7. Are the following sets of ordered pairs functions? If so, examine whet...

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  8. Are the following sets of ordered pairs functions? If so, examine whet...

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  9. If the mappings f and g are given by f = {(1,2),(3,5),(4, 1)}, g= {(2,...

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  10. If the functions f:R to R and g: R to R be defined by f (x) = 2x+1, g...

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  11. If R is a set of real numbers and f :R to R is given by the relation ...

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  12. Let f:R to R, g: R to R be two functions given by f(x)=2x-3,g(x)=x^(3)...

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  13. If f(x) = (3x +2)/(5x -3) then

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  14. Let f : R rarr R be defined by f(x) = cos (5x+2). Is f invertible? Jus...

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  15. A mapping is defined as f:R to R. f (x) = cos x. Show that it is neit...

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  16. Let C be the set of complex numbers. Prove that the mapping f: C to R...

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  17. Let A=R-{3},B=R-{1} " and " f:A rarr B defined by f(x)=(x-2)/(x-3). Is...

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  18. Let f: R to R be defined by f(x) = 3x + 4, X in R Is f invertible ? ...

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  19. The composite mapping fog, of the maps f: R to R, f (x)=sin x, g : R ...

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  20. Let A and B be two sets with a finite number of elements. Assume that ...

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