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IBhardcore

  • 2 years ago

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

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  1. Loser66
    • 2 years ago
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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.

  2. IBhardcore
    • 2 years ago
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    Is it -6 or +6 in the answer?

  3. Loser66
    • 2 years ago
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    @cwrw238

  4. cwrw238
    • 2 years ago
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    can you find g'(x) or do you need help?

  5. IBhardcore
    • 2 years ago
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    Well, I know its going to be either increasing <-6 and decreasing > - 6 or increasing < 6 and decreasing > 6

  6. cwrw238
    • 2 years ago
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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

  7. IBhardcore
    • 2 years ago
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    Thanks!

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

  9. cwrw238
    • 2 years ago
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    yw

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