Question: For each graph: (a) y = 2 x 4 + 3 6 x 2 + 3 4 4 x 4 (b) y = x 2

For each graph:

(a)y=2x4+36x2+34 4x4

(b)y=x242x

perform the following

  • Give the Domain
  • Find the X and Y intercepts ( estimate to 1 decimal place if needed). E.G. evaluate the function at a series of points.
  • Discuss symmetry - if any
  • Find the asymptotes- if any
  • Find the intervals of increase or decrease
  • Find all local maxima and minima and clearly denote them
  • Find the points of inflection and regions of concave UP and concave DOWN
  • Give a rough sketch of the curve- by hand or software if you prefer. E.g., evaluate at a set of points and fill in the graph.

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