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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)​

Given The Table Of Values Below Which Of The Following Ordered Pairs Are Found On The Graph Of The Inverse Function A 2 14 110 0 6 1 2 2 2 B 142101 60 2 1 22 O class=

Sagot :

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

[tex]f(x)=\{(x,y):x\in R,y\in R\}[/tex]

Then its inverse function is defined as

[tex]f^{-1}(x)=\{(y,x):x\in R,y\in R\}[/tex]

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

[tex]\{(-2,-14),(-1,10),(0,6),(1,2),(2,-2)\}[/tex]

So, ordered pairs of the inverse function are :

[tex]\{(-14,-2),(10,-1),(6,0),(2,1),(-2,2)\}[/tex]

Therefore, the correct option is B.

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