Question

Does the table or equation represent a linear or nonlinear function?

Answer 1

We know, if rate of change of function is constant then function is linear.

From above table we can see ordered pairs $(-5,14),(-1,12),(3,10),(7,8)$.

As $\mathrm{x}$ increases with constant value $4$ and $\mathrm{y}$ decreases with constant value $2$. The rate of change is constant.

Hence, table represents a linear function.