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.
