Respuesta :

Answer:

Non-linear function.

Step-by-step explanation:

x                 0               1              2              3

f(x)              2               4             8             16

Ratio               [tex]\frac{4}{2}=2[/tex]          [tex]\frac{8}{4}=2[/tex]        [tex]\frac{16}{8}=2[/tex]

Ratio of each successive term of f(x) to its previous term, is a common ratio of 2. So the given table represents an exponential function.

For a linear function there should be a common difference in each successive term of f(x).

Therefore, the table is for a non-linear function.