Question

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

Answer 1

Answer:

Non-linear function.

Step-by-step explanation:

x                 0               1              2              3

f(x)              2               4             8             16

Ratio               $\frac{4}{2}=2$          $\frac{8}{4}=2$        $\frac{16}{8}=2$

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.