Question

In Exercise 3 determine whether the table represents a linear or nonlinear function. explain.

Answer 1

linear function

Explanation:

from the table , observe there is a common difference between consecutive terms of y , that is

2 - (- 1) = 5 - 2 = 8 - 5 = 3

since the first differences are constant then the table represents a linear function.

Answer 2

The table represents a linear function. This can be determined in 2 ways:

1. When you graph the points they form a perfect line.

2. Considering that all x values have a common difference of 1 between their previous and next value, the y values also have a common difference, and it is 3. Hence, the points represent a linear function.