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Class 8 maths · G.6 · Functions

Compare the rates of change of two functions

Find each function's rate of change (slope), then compare. Write A or B.

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  1. Function A is y = 4x + 1. Function B is shown in a table: x = 0, 1, 2, 3 and y = 8, 17, 26, 35. Which function has the greater rate of change? Write A or B.

    Answer: B

  2. Function A is y = 6x + 0. Function B is shown in a table: x = 0, 1, 2, 3 and y = −1, 3, 7, 11. Which function has the greater rate of change? Write A or B.

    Answer: A

  3. Function A is y = 7x − 4. Function B is shown in a table: x = 0, 1, 2, 3 and y = 8, 9, 10, 11. Which function has the greater rate of change? Write A or B.

    Answer: A

Tip: Find each function's rate of change (slope), then compare. Write A or B.

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