class 12 relation and function

Let R be the relation in the set N given by R = {(a,b); a = b – 2 , b > 6} Is the relation reflexive?

• yes

• no

The smallest equivalence relation R on set A = {1,2,3} is

• {(1,1) ,(2,2),(3,3)}

• {(1,1) ,(2,2),(3,3),(1,2),(2,1)}

• {(1,1) ,(2,2),(3,3), (2,1)}

• none of these

Let A = {a,b} . Then number of one-one function from A to A possible are

• 1

• 2

• 3

• 4

Is this mapping a function or not a function? 

• Function
• Not a Function 

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.5

Which set of values is a function?

• (9,5) (10,5) (9,-5) (10,-5)
• (3,4) (4,-3) (7,4) (3, 8)
• (6,-5) (7, -3) (8, -1) (9, 1)
• (2, -2) (5, 9) (5, -7) (1, 4)

Tags

CCSS.HSF.IF.A.1

Is the relation a function? Why.

• Yes, because the x-value 11 has two y-values pair with it.
• Yes, because each x-value has only one y-value paired with it.
• No, because the x-value 11 has two y-values pair with it.
• No, because each x-value has only one y-value paired with it.

Tags

CCSS.HSF.IF.A.1

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}

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.5

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

• Yes
• No
• No way to tell

Tags

CCSS.HSF.BF.B.4

CCSS.HSF.IF.A.1

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

Tags

CCSS.HSF-BF.B.4A

Given set A = {a,b,c}. An identity relation in set A is

• R= {(a,b),(a,c)}

• R = {(a,a),(b,b), (c,c) }

• R= {(a,a),(b,b), (c,c), (a,c)}

• R= {(c,a),(b,a), (a,a)}