SOLUTION: problem: f(x)=-2*x^3-9*x^2+24*x+1 I'm trying to find out how to determine the interval on which funtion increases and decreases, and how to determine the local minima and local

Algebra ->  Functions -> SOLUTION: problem: f(x)=-2*x^3-9*x^2+24*x+1 I'm trying to find out how to determine the interval on which funtion increases and decreases, and how to determine the local minima and local      Log On


   

Question 309248: problem: f(x)=-2*x^3-9*x^2+24*x+1
I'm trying to find out how to determine the interval on which funtion increases and decreases, and how to determine the local minima and local maxima
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
problem: f(x)=-2*x^3-9*x^2+24*x+1
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Graph the equation:
graph%28400%2C300%2C-10%2C10%2C-120%2C20%2C-2x%5E3-9x%5E2%2B24x%2B1%29
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Comments: The methods for this problem depend on whether
you are taking calculus or college algebra.
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Just using a graphing calculator you can get the following answers:
I'm trying to find out how to determine the interval on which function
increases: (-4,1)
decreases: (-inf,-4)U(1,+inf)
and how to determine the
local minima: (-4,-111)
local maxima: (1,14)
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Cheers,
Stan H.
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