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Year 9 maths · G.5 · Functions

Linear or nonlinear? Tables

Find the rate of change between neighbouring columns. If it is always the same, the relationship is linear.

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  1. Is this relationship linear or nonlinear? x = −2, 0, 2, 4 and y = −8, −18, −28, −36. Write linear or nonlinear.

    Answer: nonlinear

  2. Is this relationship linear or nonlinear? x = −2, 1, 4, 7 and y = −9, −24, −39, −54. Write linear or nonlinear.

    Answer: linear

  3. Is this relationship linear or nonlinear? x = 3, 5, 7, 9 and y = −4, 0, 12, 32. Write linear or nonlinear.

    Answer: nonlinear

Tip: Find the rate of change between neighbouring columns. If it is always the same, the relationship is linear.

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