Question

Given the table of values below, which of the following ordered pairs are

found on the graph of the inverse function?
х
-2
-1
0
1
2
f(x)
12
10
8
6
4

Answer 1

(12,-2), (10,-1), (8,0), (6,1) and (4,2).

Explanation:

If a function is defined as

`f(x)=\{(x,y):x\in R,y\in R\}`

then its inverse is defined as

`f^(-1)(x)=\{(y,x):x\in R,y\in R\}`

It means coordinates of ordered pairs are interchanged.

From the given table it is clear that the function passing through the points (-2,12), (-1,10), (0,8), (1,6) and (2,4).

Using the above definition, we can say that the inverse function passing through the points (12,-2), (10,-1), (8,0), (6,1) and (4,2).

Therefore, the required ordered pairs are (12,-2), (10,-1), (8,0), (6,1) and (4,2).