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  3. consider the function below. (if an answer does no

Consider the function below. (If an answer does not exist, enter DNE.) f(x) = 1 2 x4 − 4x2 +...

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Question

Basic Math

Consider the function below. (If an answer does not exist, enterDNE.)

f(x) =

1
2

x4 − 4x2 + 2

(a) Find the interval of increase. (Enter your answer usinginterval notation.)

(−2,0)∪(2,∞)

  

Find the interval of decrease. (Enter your answer using intervalnotation.)

(−∞,−2)∪(0,2)

  

(b) Find the local minimum value(s). (Enter your answers as acomma-separated list.)

DNE

  

Find the local maximum value(s). (Enter your answers as acomma-separated list.)

2

  

(c) Find the inflection points.

(x, y)=
  
(smaller x-value)
(x, y)=
  
(larger x-value)



Find the interval where the graph is concave upward. (Enter youranswer using interval notation.)



Find the interval where the graph is concave downward. (Enter youranswer using interval notation.)

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