Sketch the graph and show all local extrema and inflection points.f(x) = -x4 + 4x2 - 4
A. Local maxima: (-, 0), (
, 0)
Local minimum: (0, -4)
No inflection points
B. Local maxima: (-, 0), (
, 0)
Inflection points: ,
C. Local minima: (-, 0), (
, 0)
Local maximum: (0, 4)
Inflection point: ,
D. Local maxima: (-, 0), (
, 0)
Local minimum: (0, -4)
Inflection points: ,
Answer: D
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