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IBhardcore Group Title

Identify intervals on which the function is increasing, decreasing, or constant. g(x) = 1 - (x - 6)2

  • one year ago
  • one year ago

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  1. Loser66 Group Title
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    calculate g'(x) , let it =0 to get the value of critical points. Plug each of them into g(x) to find value of g(x) at those points. Then, compare them, make table to know in which interval it increasing/decreasing /saddle.

    • one year ago
  2. IBhardcore Group Title
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    Is it -6 or +6 in the answer?

    • one year ago
  3. Loser66 Group Title
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    @cwrw238

    • one year ago
  4. cwrw238 Group Title
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    can you find g'(x) or do you need help?

    • one year ago
  5. IBhardcore Group Title
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    Well, I know its going to be either increasing <-6 and decreasing > - 6 or increasing < 6 and decreasing > 6

    • one year ago
  6. cwrw238 Group Title
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    g'(x) = -2(x - 6) = 0 at critical points x - 6 = 0 x = 6 to find if this is a maximum or a minimum we find g"(x) this = -2 negative gives a maximum so its is increasing for x < 6, maximum at x = 6 and decreasing for x > 6

    • one year ago
  7. IBhardcore Group Title
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    Thanks!

    • one year ago
  8. cwrw238 Group Title
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    http://www.wolframalpha.com/input/?i=y+%3D+1+-+%28x+-+6%29%5E2

    • one year ago
  9. cwrw238 Group Title
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    yw

    • one year ago
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