Given the table of value below, which of the following ordered pairs are found on the graph of the inverse function ?

Option: C is the correct answer.

The ordered pair which will be found in the graph of the inverse function is:

C.  (0,-2) , (4,-1) , (8,0) , (12,1) , (16,2)    

We are given a table of values as:

       x                f(x)

     -2                 0

     -1                  4

      0                  8

      1                   12

      2                  16

i.e. the domain of the function is: {-2,-1,0,1,2}

and range of the function is: {0,4,8,12,16}

We now that for any function f(x) and it's inverse function the x and y value get interchanged i.e. the domain of the function f(x) becomes the range of its inverse function and the range of the function f(x) becomes the domain of the inverse function.

Hence, for any function with given ordered pair the inverse function will have ordered pair with x and y-value getting swapped.

i.e. if (-2,0) is an ordered pair of f(x)

then (0,-2) will be an ordered pair in the inverse function of f(x).

Hence, similarly all the ordered pairs could be obtained.

            The answer is:

             Option: C

the mistake in the pattern is that :

b. the decimal point was moved one too many place values each time

the correct pattern could be made by :

b. moving the decimal point to the right the same numbers of place values as the exponents

if x = 1, then the answer is 3.5