Caleb claims that the ordered pairs shown in the table below are from a nonlinear function.

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.