Question

Does a table represents a linear or nonlinear function $?$ Explain.

Answer 1

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

From the above table as $\mathrm{x}$ increases by $2$ and $\mathrm{y}$ increases by constant value $4$.

The rate of change is constant, so function is linear.

Hence, a table represents a linear function.