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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 + 6

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



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



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



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



(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.)



(d) Use the information from parts (a)-(c) to sketch the graph.Check your work with a graphing device if you have one.

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