Form 11: Linear vs. Non-linear Functions from Tables Exercise

Form 11: Linear vs. Non-linear Functions from Tables

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Form 11: Linear vs. Non-linear Functions from Tables

Analyze input-output tables to distinguish between linear and non-linear functions. Check for constant rates of change to classify each relationship correctly.

Questions

  1. MultiChoice

    Table: x = [1, 2, 3, 4], y = [4, 7, 10, 13]. Is this function linear or non-linear?

  2. MultiChoice

    Table: x = [1, 2, 3, 4], y = [1, 4, 9, 16]. Linear or non-linear?

  3. MultiChoice

    What requirement makes a table represent a LINEAR function?

  4. MultiChoice

    Table: x = [0, 1, 2, 3], y = [20, 15, 10, 5]. Linear or non-linear?

  5. MultiChoice

    Table: x = [0, 1, 2, 3], y = [1, 2, 4, 8]. Exponential growth table. Linear or non-linear?

  6. MultiChoice

    Which of the following tables represents a LINEAR function?

  7. MultiChoice

    Which of the following tables represents a NON-LINEAR function?

  8. MultiChoice

    Table: x = [1, 2, 3, 4], y = [7, 7, 7, 7]. Linear or non-linear?

  9. MultiChoice

    When x increases by equal amounts, how can you identify a non-linear table?

  10. MultiChoice

    Table: x = [2, 4, 6], y = [7, 14, 21]. Linear or non-linear?

  11. MultiChoice

    Table: x = [-2, -1, 0, 1, 2], y = [4, 1, 0, 1, 4]. Linear or non-linear?

  12. MultiChoice

    Table: x = [5, 10, 15], y = [100, 200, 300]. Is this linear or non-linear?