Answer: f ( x ) = x + 3
Step-by-step explanation:
The points given are ( 0, 3 ) , ( 1 , 4 ) , ( 2 , 5 ).
Taking any two points ( 0 ,3 ) , ( 1 , 5 )
The slope ( m) = [tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} } = \frac{4 - 3}{1 - 0} = 1[/tex]
y - 3 = 1 ( x - 0)
y = x + 3
∴ f ( x ) = x + 3
