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  C.  {2.4, 4.8, 6.3, 8.8}

Step-by-step explanation:

You only need to find the first domain value to make the appropriate answer selection.

  14.1 = 7x -2.7

  16.8 = 7x . . . . . . add 2.7

  2.4 = x . . . . . . . . divide by 7

The appropriate choice is ...

  C.  {2.4, 4.8, 6.3, 8.8}

_____

In the attachment, we have applied the same "solve for x" steps to each of the range values, confirming our answer choice.

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.