# FIND THE INVERSE OF A SET OF ORDERED PAIRS WORKSHEET

Write the inverse of the given function.

Problem 1 :

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

Solution

Problem 2 :

{ (0, 6) (4, 2) (-1, 7) (-2, 8) }

Solution

Problem 3 :

{ (1, 1) (2, 2) (3, 3) (4, 4) }

Solution

Problem 4 :

{ (1, k) (2, k+1) (3, k+2) }

Solution

Problem 5 :

Let f = {(3, -2) (4, -) (5, -1)

a) Write the function formed by interchanging x and y-coordinate.

b) Is this new relation a function? If not explain why?

Solution

State true or false :

Problem 6 :

The relation formed by interchanging x and y in each pair of the function is also a function.

Solution

Problem 7 :

The relation formed by interchanging x and y in each pair of a one to one function is also one to one function.

Solution

Problem 8 :

What is the inverse of the function

{ (3, 1) (4, -1) (-2, 6)} ?

1)  { (3, -1) (4, 1) (-2, -6) }

2)  { (-1, 3) (1, 4) (-6, -2) }

3)  { (-3, -1) (-4, 1) (2, -6) }

4)  { (1, 3) (-1, 4) (6, -2) }

Solution

1)  { (5, 1) (7, 2) (-2, 3) (-3, 4) }

2)  { (6, 0) (2, 4) (7, -1) (8, -2) }

3)  { (1, 1) (2, 2) (3, 3) (4, 4) }

4)  { (k, 1) (k+1, 2) (k + 2, 3) }

5)  a) f-1 = {(-2, 3) (-2, 4) (-1,5)

b) It is not a function, because one of the inputs is associated with more than one output.

That is,

-2 is associated with 3 and -2 is associated with 4. So, it is no t a function.

6)  False

7)  True.

Because if the original function is one to one, each element will have different output. So, it's inverse function will also be one to one function.

8)  f-1 = { (1, 3) (-1, 4) (6, -2)}

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