anonymous
  • anonymous
Given f(x)=x^3-4x^2+x-2. State the interval(s) on which f is increasing and on which f is decreasing.
Mathematics
schrodinger
  • schrodinger
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anonymous
  • anonymous
Find derivative, set to 0, solve for x. Intervals positive increasing, negative decreasing.
anonymous
  • anonymous
I don't know how to do derivatives, I'm only in pre-calc.
anonymous
  • anonymous
Two ways, you can do either one or do both, using one as a check. Analyse graph. Increasing when graph is going 'up' from left to right. 2nd method: solve for x. Investigate from negative infinity, over intervals of x, to positive infinity. Input x values, if y (also known as f(x), is getting bigger over interval increasing; if x values produce smaller y values decreasing.

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