Respuesta :

Answer:

Step-by-step explanation:

Rate of change of a function between x = b and x = a,

Rate of change = [tex]\frac{f(b)-f(a)}{b-a}[/tex]

From the given table,

Rate of change of the given function between x = 3 and x = 5,

f(5) = -26

f(3) = -2

Rate of change = [tex]\frac{-26+2}{5-3}[/tex]

                          = -12

Since, rate of change for the given function is constant, function is a linear function.