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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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