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The given table of ordered pairs.

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \
\

x

\ 		\

 2

\ 		\

4

\ 		     6     8    10   12
\

y

\ 		\

 8

\ 		\

6

\ 		     4     2     0   –2
\

The difference of the x values is 2, and the difference of the y values is –2.

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Then the difference equation is y = –x.

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\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \
\

x

\ 		\

 2

\ 		    4 \

6

\ 		      8  \ \      10    12
  –x –2  –4  –6    –8   –10  –12
\

y

\ 		\

8

\ 		    6 \

4

\ 		      2      0    –2
\

The values of y and –x difference is 10.

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Then the value of y is 10 difference x.

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Then the equation of the function f (x) = y = 10 – x.\"\"

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The solution of the equation is y = 10 – x.