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  3. consider the function f(x) = x 4 − 4x 2 . de

Consider the function f(x) = x 4 − 4x 2 . Determine the following: • The (x,y)...

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Basic Math

Consider the function

f(x) = x 4 − 4x 2 . Determine the following:

• The (x,y) coordinate pairs of the local minima and localmaxima.

• The (x,y) coordinate pair of the absolute minimum and absolutemaximum, should they exist. If the absolute min/max is obtained atmultiple points, list all of them. • The intervals of increasingand decreasing.

• The intervals of concavity. That is, explain exactly wherethis function is convex and exactly where this function isconcave.

• The (x,y) coordinate pair of the inflection points.

• The horizontal and vertical asymptotes, should they exist.

• The (x,y) coordinate pair of the roots.

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