Question

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

Answer 1

Non-linear function.

Explanation:

x 0 1 2 3

f(x) 2 4 8 16

Ratio
`(4)/(2)=2`
`(8)/(4)=2`
`(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.