Question
Analyze the graph of ?(?) = 2?3 + 3?2 − 12? + 1. a. Use technology...
Analyze the graph of ?(?) = 2?3 + 3?2 − 12? + 1.
a. Use technology to find the x- and y- intercepts. (Round to two
decimal places.)
b. Find all the stationary points. If none, write NONE.
c. Use the first derivative test to determine if the stationary
points are relative maxima, minima or neither.
d. Find all the singular points. If none, write NONE.
e. Are there any endpoints to consider? If none, write NONE.
f. Find any possible inflection points. If none, write NONE.
?
?
Classify points from b, c, d, and e as a relative max, relative
min, absolute max, absolute min, or inflection point.
g. Determine the end behavior of ?(?).
As ? → ∞,
?(?)
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