Answer:
The relative minimum is (3,-4) and the relative maximum is (-2,1)
Explanation:
The first step is to take the derivative of f(x)
By using the power rule which is d/dx x^n=nx^n-1 you will find that the derivative is 6x^2-6x-12
The next step is to set the derivative = to 0 and by doing that you will obtain x being equaled to -2 and 3
Put -2 and 3 on a sign chart and determine the behavior for both of those functions
The outcome of your sign chart should be + - + because of the odd multimplicity of (x-3) and (x+2).
The next step is to find the f(x) values or y values of your two points
By plugging in 3 into f(x), you get -4 and by plugging in -2 into f(x) you get 1
Since there was interval given, I cannot find the absolute extremas of this function.