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11 January, 22:28

Identify intervals on which the function is increasing, decreasing, or constant.

g (x) = 2 - (x - 7) 2

Increasing: x 2

Increasing: x - 7

Increasing: x 7

Increasing: x > 2; decreasing: x < 2

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Answers (1)
  1. 12 January, 01:52
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    G (x) = 2 - (x - 7) ²

    g (x) = 2 - (x² - 14 x + 49)

    g (x) = 2 - x² + 14 x - 49

    g (x) = - x² + 14 x - 47

    The maximum of the function is at:

    x = - b / 2 a

    x = - 14 / ( - 2) = 7

    Therefore the function is increasing form x ∈ ( - ∞, 7) and decreasing for x ∈ (7, + ∞).

    Answer:

    C. increasing, x 7.
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