Exploring Linear Functions: Tabular Representation and Constant Rate of Change

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A linear function can be represented in tabular form where there is a constant rate of change between the input (x-values) and the output (y-values). In other words, the difference between successive y-values is constant.

Here is an example of a table representing a linear function.

x| y

---------

1 | 3                                                 

2 | 5

3 | 7

4 | 9

In this table, for every increase of 1 in the x-value the y-value increases by 2. This constant rate of change (or slope) of 2 shows that the function is linear.