SOLUTION: Find the absolute maximum and minimum of the function {{{ f(x)= x^(1/3)*(x^2-9)}}} for x∈[-4,2] Express your answers in simple exact form.

Algebra ->  Absolute-value -> SOLUTION: Find the absolute maximum and minimum of the function {{{ f(x)= x^(1/3)*(x^2-9)}}} for x∈[-4,2] Express your answers in simple exact form.      Log On


   

Question 592124: Find the absolute maximum and minimum of the function
+f%28x%29=+x%5E%281%2F3%29%2A%28x%5E2-9%29 for x∈[-4,2]
Express your answers in simple exact form.
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
I'll expand everything in order to avoid using the product rule.





Set to zero and find all possible values of x (remember to check them). Also, check the endpoints x = -4 and x = 2, as the min/max could occur there.