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20 July, 01:19

Jackie wants to justify that f (x) = 2x - 6 is a linear function. If she evaluated F (x) for consecutive integer values, write a statement to justify her claim of f (x) = 2x - 6 as a linear function.

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  1. 20 July, 01:43
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    Jackie wants to justify that f (x) = 2x - 6 is a linear function.

    Lets assume some values for x and find out f (x)

    We make a table with x values 1, 2, 3, 4 and find f (x)

    To find f (x) we plug in x value in the given equation

    x f (x)

    1 2 (1) - 6 = - 4

    2 2 (2) - 6 = - 2

    3 2 (3) - 6 = 0

    14 2 (4) - 6 = 2

    for f (x) we got - 4, - 2, 0, 2

    The value of f (x) is increasing by 2. There is a constant increase in f (x)

    When there is a constant rate of increase then it is a linear function

    constant rate of increase that is slope = 2. Hence f (x) = 2x - 6 is a linear function.
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