\"\"

\

The given table of ordered pairs.

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

x

\ 		\

 0

\ 		\

1

\ 		     2     3    4    5
\

y

\ 		\

 1

\ 		\

5

\ 		     9   13  17   21
\

The difference of the x values is 1, and the difference of the y values is 4.

\

Then the difference equation is y = 4x.

\

 

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

x

\ 		\

 0

\ 		\

1

\ 		     2     3    4    5
  4x   0    4     8   12  16   20
\

y

\ 		\

 1

\ 		\

5

\ 		     9   13  17   21
\

The values of y and 4x difference is 1.

\

Then the value of y is 4 times x adding 1.

\

Then the equation of the function f (x) = y = 4x + 1.\"\"

\

The solution of the equation is y = 4x + 1.