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In: Math

f(x) = x4 − 128x2 + 7 (a) Find the intervals on which f is increasing...

f(x) = x4 − 128x2 + 7

(a) Find the intervals on which f is increasing or decreasing. (Enter your answers using interval notation.)

increasing    
decreasing    


(b) Find the local maximum and minimum values of f. (If an answer does not exist, enter DNE.)

local minimum value    
local maximum value    


(c) Find the intervals of concavity and the inflection points. (Enter your answers using interval notation.)

concave up    
concave down    
inflection point     (x, y) =
  
(smaller x-value)
inflection point     (x, y) =
  
  (larger x-value)

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