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Let X = {1, 2, 3, 4, 5} and Y = {1, 3, 5...

Let X = {1, 2, 3, 4, 5} and Y = {1, 3, 5, 7, 9}. Which of the following is/are not relations from X to Y?

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`R_(2) and R_(4)` are functions
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Let X = {1, 2, 3, 4} and Y = {1, 3, 5, 7,9} . Which of the following is relations from X to Y if R= { (1,1), (2,1), (3,3), (4, 3), (5,5)}

Let X = {1, 2, 3, 4} and Y = {1, 3, 5, 7,9} . Which of the following is relations from X to Y

Let X={1,2,3,4,5} and Y={1,3,5,7,9} . Which of the following is not a relation from X to Y

Let X={1,2,3,4}a n d\ Y={1,5,9, 11 , 15 , 16} Determine which of the following sets are functions from X\ to\ Y f_2={(1,1),\ (2,7),\ (3,5)} and f_3={(1,5),(2,9), (3,1), (4,5),(2,11)}

Let X={1,2,3,4}a n d\ Y={1,5,9, 11 , 15 , 16} Determine which of the following sets are functions from X\ to\ Y f_1={(1,1),\ (2, 11),\ (3,1),\ (4, 15)}

Let X = { 1, 2, 3} and Y= {4, 5}. Find whether the following subsets of X xx Y are functions from X to Y or not. (i) f = {(1, 4), (1, 5), (2, 4), (3, 5)} (ii) g = {(1, 4), (2, 4), (3, 4)} (iii) h = {(1, 4), (2, 5), (3, 5) } (iv) k = {(1, 4), (2, 5)}

Let A = {1, 2, 3, 4}, B = {1, 5, 9, 11 , 15 , 16} and f = {(1, 5), (2, 9), (3, 1), (4, 5), (2, 11)} . Are the following true?(i) f is a relation from A to B(ii) f is a function from A to B.Justify y

Let A = {1, 2, 3, 4}, B = {1, 5, 9, 11 , 15 , 16} and f = {(1, 5), (2, 9), (3, 1), (4, 5), (2, 11)} . Are the following true?(i) f is a relation from A to B(ii) f is a function from A to B.Justify y

A = {1, 2, 3. 5} " and " B = {4, 6, 9} . Define a relation R from A to B by R = {(x, y): the difference between x and y is odd: x in A , y in B }. Write R in roster form.

If X={1,2,3,4} , Y={2,3,5,7}, Z={3,6,8,9},W={2,4,8,10}, then

NAGEEN PRAKASHAN ENGLISH-RELATIONS AND FUNCTIONS-Exercise 2C
  1. Let f be the subset of Z xxZdefined by f = {(a b , a + b) : a , b in ...

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  2. Examine each of the following relations given below and state in each...

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  3. Let X = {1, 2, 3, 4, 5} and Y = {1, 3, 5, 7, 9}. Which of the followin...

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  4. Let R be a relation defined on the set of natural numbers as: R={(x,...

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  5. Express each relation in the form of ordered pair and check whether is...

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  6. A function f: R to R is defined as: f(x) ={{:(1,x in Q),(-1,x notinQ...

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  7. Find which of the following are the function on set A={a,b,c} ? Give r...

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  8. A function f: R to R is defined asf(x)=x^(2)+1. Evaluate each of the f...

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  9. If A={1,2,3,4},B={1,5,9,11,15,16} and f={(1,5),(2,9),(3,1),(4,5),(2,11...

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  10. Let A = {9, 10 , 11 , 12 , 13}and let f : A ->Nbe defined by f(n) = th...

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  11. If A={1,2} and B={3,6} and two functions f: A to B and g: A to B are d...

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  12. Express the following functions in the form of order pairs and find th...

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  13. If a function f:R to R is defined as f(x)=x^(2)+1, then find each of t...

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  14. Let a function f:R^(+) to R is defined as f(x)="log"(e)x, then find ea...

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  15. A function F(c) is defined as : F(c) =(9)/(5)*c+32. Evaluate each ...

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  16. If f(x)=2x-5 , then evaluate the following: (i) f(0) (ii) f(7) (...

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  17. If f(x)=x^(2), then evaluate: (f(1*2)-f(1))/(1*2-1)

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  18. If f(x)=x^(2) , then evaluate : (f(x+1)-f(x-1))/(4x)

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  19. If f(x)=(x)/(x-1), then evaluate : (f(a//b))/(f(b//a))

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  20. If f(x)=(x-1)/(x+1), then prove that: (f(b)-f(a))/(1+f(b)*f(a))=(b-a...

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