SOLUTION: Hi, I'm having trouble solving and figuring what to do in this problem:
Graph f(x)= x^3 + 5x^2 + 2x - 8
Identify the x-intercepts and the points where the local maximums and
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-> SOLUTION: Hi, I'm having trouble solving and figuring what to do in this problem:
Graph f(x)= x^3 + 5x^2 + 2x - 8
Identify the x-intercepts and the points where the local maximums and
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Question 1027176: Hi, I'm having trouble solving and figuring what to do in this problem:
Graph f(x)= x^3 + 5x^2 + 2x - 8
Identify the x-intercepts and the points where the local maximums and local minimums occur.
You can put this solution on YOUR website! The x-intercepts are precisely the zeroes of the function f(x), i.e. the values of x such that f(x) = 0. Try to find a real root r of f(x) (hint: there's a pretty easy one!), then divide by x-r to get a quadratic, in which you can use the quadratic formula or another method to find the other two roots.
To find local maxima/minima you have to find f'(x):
f'(x) = 3x^2 + 10x + 2
Set f'(x) = 0 to find critical points. For each critical point, check whether it is a local maximum or minimum.
