Question

Given the table of values below, which of the following ordered pairs are found on the graph of the inverse function? A. (-2, -14), (-1,-10), (0, -6), (1, -2), (2, 2) B. (14,-2).(10,-1). (6.0), (2, 1), (-2,2) O C. (-14, 2), (-10,1),(-6,0),(-2,-1), (2-2) D. (2, -14), (1, -10), (0, -6).(-1,-2).(-2,2)​

Answer 1

Given:

The of values of a function.

To find:

The ordered pairs that are found on the graph of the inverse function.

Solution:

If a function is defined as

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

Then its inverse function is defined as

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

From the given table it is clear that, the ordered pairs of the function f(x) are :

$\{(-2,-14),(-1,10),(0,6),(1,2),(2,-2)\}$

So, ordered pairs of the inverse function are :

$\{(-14,-2),(10,-1),(6,0),(2,1),(-2,2)\}$

Therefore, the correct option is B.