anonymous
  • anonymous
Identify intervals on which the function is increasing, decreasing, or constant. g(x) = 1 - (x - 6)2
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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Loser66
  • Loser66
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.
anonymous
  • anonymous
Is it -6 or +6 in the answer?
Loser66
  • Loser66
@cwrw238

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cwrw238
  • cwrw238
can you find g'(x) or do you need help?
anonymous
  • anonymous
Well, I know its going to be either increasing <-6 and decreasing > - 6 or increasing < 6 and decreasing > 6
cwrw238
  • cwrw238
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
anonymous
  • anonymous
Thanks!
cwrw238
  • cwrw238
http://www.wolframalpha.com/input/?i=y+%3D+1+-+%28x+-+6%29%5E2
cwrw238
  • cwrw238
yw

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