Algebra-1

To determine whether the given table represents a linear function, a non-linear function, or is not a function, we can examine the relationship between the input (x) and output (y) values.

First, check if it represents a function:
A function requires that each input (x-value) maps to exactly one output (y-value). In this case, no x-value is repeated, and each has only one y-value. Thus, it is a function.

Then, let's calculate the differences in y-values for consecutive x-values:

Difference in y for the first data point: ...