Functions and Relation

• P' ∪ R' ∪ Q
• ( P ∪ R )' ∩ Q
• Q ∩ ( P ∩ R )'
• R' ∩ Q' ∩ P'

Let f be a function on set A = {1,2,3,4,5} such that f = {(1,2) (2,3),(3,4) (4,2) ,(5, 5) }

• f is one - one function

• f is onto function

• f is bijective function

• none of the above

Let A = {1,2,3}. Then the number of relations containing (1,2) and (1,3) which are reflexive and symmetric but not transitive is

• 1

• 2

• 3

• 4

If g = {(1,1), (2,3), (3,5), (4,7)} is function given by g(x) = αx + β then the values of α and β are

• (-1,2)

• (2,-1)

• (-1, -2)

• (1,2)

Let f and g be two functions given by

f = {(0,1), (2,0), (3,-4), (4,2), (5,7)}

g = { (0,2), (1,0), (2,4), (-4,2), (7,0)} then the range of f o g is

• {0,2,3,4,5}

• {-4,1,0,2,7}

• {1,2,3,4,5}

• {0,1,2}

If f : A → B is a bijective function and if n(B) = 7, then n(A) is equal to

• 7

• 49

• 1

• 14

If the ordered pairs (a+2, 4) and (a, 2a+b) arre equal then (a,b) is

• (2,-2)

• (5,1)

• (2,3)

• (3,-2)

Find the inverse of f(x) = -4x - 12

• f^-1(x) = 4x - 3

• f^-1(x) = -1/4x - 3

• f^-1(x) = 1/4x + 3

• f^-1(x) = -4x - 3

f(x) = {(3, 7), (4, -2), (5, -1), (8, 7)}
Is f^-1(x) a function?

• Yes

• No

• No way to tell

For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.

• D: {1, -3, -4,}
  R: {0, 1, 2, -4}

• D:{-4, 0, 1, 2}
  R:{-4, -3, 1}

• D:{0, 1, 2, 3, 4}
  R:{1, -3, -4}