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Classifying Relations as Linear or Nonlinear-Gr 8-Solved Examples

Which of these tables DOES NOT represent a Linear function?

Responses

Table 1
Table 1

Table 2
Table 2

Table 3
Table 3

Table 4
Table 4

Table 5
Table 5

1 answer

To determine which of the tables does not represent a linear function, we need to check if the relationship between the variables in each table is linear.

A linear function has a constant rate of change, meaning that for equal changes in x, the changes in y are also equal. We can typically find this by calculating the differences between successive y-values and ensuring they are consistent as x increases.

Without specific tables to reference, I can guide you on how to analyze them:

  1. Look for Patterns: Calculate the change in y for equal changes in x. For example, if x increases by 1, see how much y changes.

  2. Constant Slope: If the change in y remains the same for every change in x, then the function is linear. If it varies, the function is likely nonlinear.

  3. Graphing: If possible, graph the points from the table. If the points form a straight line, then it's linear; if they do not, then it is nonlinear.

If you provide the specific values from each table, I can help determine which one is nonlinear.