Answered

a relation is given in the table below write out the ordered pairs for the inverse and then determine if the inverse is a function

x y

1 0

2 1

3 0

4 2

5 0

A(1,0), (2,1), (3,0), (4,2), (5,0) inverse is not a function
B(0,1), (1,2), (0,3), (2,4), (0,5) inverse is not a function
C(0,1), (1,2), (2,4) inverse is a function
D(0,1), (1,2), (0,3), (2,4), (0,5) inverse is a function

Verified Answer :

dencsid

B, the inverse is not a function, because to the x-value 0 the inverse relation orders two values: the 1 and the 5 as well.

Answer:

Option b is correct.

{(0,1), (1,2), (0,3), (2,4), (0,5)} inverse is not a function

Step-by-step explanation:

Inverse function states that the set of all ordered pairs obtained by interchanging the first and second elements of each ordered pair  in the original function.

As per the statement:

A relation is given in table:

x    y


1    0


2   1


3   0


4   2


5   0

We an write this as:

{(1,0), (2,1), (3,0), (4,2), (5,0)}

by definition of inverse function;

{(0,1), (1,2), (0,3), (2,4), (0,5)}

A function is a relation in which each input has a unique output value.

Since, this inverse is not a function because the input value of 0 does not have unique output.

⇒{(0,1), (1,2), (0,3), (2,4), (0,5)} inverse is not a function