Relations and Functions Five Marks Questions

10th Standard EM

    Reg.No. :
  •  
  •  
  •  
  •  
  •  
  •  

Maths

Time : 01:00:00 Hrs
Total Marks : 50
    10 x 5 = 50
  1. The arrow diagram shows a relationship between the sets P and Q. Write the relation in (i) Set builder form (ii) Roster form (iii) What is the domain and range of R.

  2. Let A={1,2,3}, B={4,5,6,7}, and f={(1,4),(2,5),(3,6)}  be a function from A to B. Show that f is one – one but not onto function.

  3. If A={-2,-1,0,1,2} and f: A ⟶ B is an onto function defined by f(x)=x2+x+1 then find B.

  4. If the function f: R⟶ R defined by 

    (i) f(4)
    (ii) f(-2)
    (iii) f(4)+2f(1)
    (iv) \(\frac { f(1)-3f(4) }{ f(-3) } \)

  5. Let f = {(2, 7); (3, 4), (7, 9), (-1, 6), (0, 2), (5,3)} be a function from A = {-1,0, 2, 3, 5, 7} to B = {2, 3, 4, 6, 7, 9}. Is this (i) an one-one function (ii) an onto function, (iii) both oneone and onto function?

  6. A functionf: [-7,6) \(\rightarrow\) R is defined as follows.

    find 2f(-4) + 3/(2)

  7. A functionf: [-7,6) \(\rightarrow\) R is defined as follows.

    f(-7) -f(-3)

  8. A functionf: [-7,6) \(\rightarrow\) R is defined as follows.

    \(\cfrac { 4f(-3)+f2(4) }{ f(-6)-3f(1) } \)

  9. f(x) = (1+ x)
    g(x) = (2x-1)
    Show that fo(g(x)) = gof(x)

  10. Let A = {1, 2, 3, 4, 5}, B = N and f: A \(\rightarrow\)B be defined by f(x) = x2. Find the range of f. Identify the type of function.

*****************************************

Reviews & Comments about 10th Science - Relations and Functions Five Marks Questions

Write your Comment