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15 August, 06:52

The function f (x) = (x-4) (x-2 is shown. What is the range lf the function

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Answers (2)
  1. 15 August, 08:43
    0
    Range: y "-1

    Step-by-step explanation:

    f (x) = (x - 2) (x - 4)

    f (x) = x² - 2x - 4x + 8

    f (x) = x² - 6x + 8

    f (x) = x² - 2 (x) (3) + 3² - 3² + 8

    f (x) = (x - 3) ² - 1

    Vertex: (3,-1)

    Minimum value: - 1

    Range: y "-1
  2. 15 August, 09:50
    0
    The range is all values greater than or equal to - 1

    y : y≥-1

    Step-by-step explanation:

    f (x) = (x-4) (x-2)

    This functions is an upwards facing parabola. This means it has a minimum

    The minimum is 1/2 way between the zeros

    0 = (x-4) (x-2)

    x-4 = 0 x-2 = 0

    The zeros are at 4 and 2

    (4+2) / 2 = 6/2 = 3

    The minimum is at x=3

    The minimum value is at

    f (3) = (3-4) (3-2) = - 1 (1) = -1

    The range is all values greater than or equal to - 1

    y : y≥-1
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