Graph the fourth degree polynomial for various values of the constant a. (a) Determine the values of
Question:
Graph the fourth degree polynomial
for various values of the constant a.
(a) Determine the values of a for which p has exactly one relative minimum.
(b) Determine the values of a for which p has exactly one relative maximum.
(c) Determine the values of a for which p has exactly two relative minima.
(d) Show that the graph of p cannot have exactly two relative
extrema.
Transcribed Image Text:
p(x) = x4 + ax² + 1
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