Relations and Functions Two Marks Question

10th Standard EM

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Maths

Time : 00:45:00 Hrs
Total Marks : 20
    10 x 2 = 20
  1. If A x B = {(3,2), (3,4), (5,2), (5,4)} then find A and B.

  2. Let A = {x \(\in \) N| 1 < x < 4}, B={x \(\in \) W| 0 ≤ x < 2) and C={x \(\in \) N| x < 3} Then verify that
    (i) A x (B U C) = (A x B) U (A x C)
    (ii) A x (B ∩ C) = (A x B) ∩ (A x C)

  3. Let X={1,2,3,4} and Y={2,4,6,8,10} and R={(1,2),(2,4),(3,6),(4,8)} Show that R is a function and find its domain, co-domain and range?

  4. A relation ‘f’ is defined by f(x)=x2-2 where x\(\in \){-2,-1,0,3}
    (i) List the elements of f
    (ii) Is f a function?

  5. If f(x)=3x-2, g(x)=2x+k and if f o g = f o f, then find the value of k..

  6. Find k if f o g(k) = 5 where f(k)=2k-1.

  7. If f(x)=2x+3, g(x)=1-2x and h(x)=3x. Prove that f 0 (f o g) o h.

  8. State whether the graph represent a function. Use vertical line test.

  9. Let A = {0, 1, 2, 3} and B = {1, 3, 5, 7, 9} be two sets. Letf: A \(\rightarrow\)B be a function given by  f(x) = 2x + 1. Represent this function as an arrow .

  10. Let A = {0, 1, 2, 3} and B = {1, 3, 5, 7, 9} be two sets. Letf: A \(\rightarrow\)B be a function given by  f(x) = 2x + 1. Represent this function as a graph.

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