Sketch the graph and show all local extrema and inflection points.f(x) = x + sin x, 0 ? x ? 2?
A. Local minimum: (0, 0)
Local maximum: (2?, 2?)
Inflection point: (?, ?)
B. Local minimum: (0, 0)
Local maximum: (2?, 2?)
Inflection point: (?, ?)
C. Local minimum: (0, 0)
Local maximum: (2?, 2?)
No inflection points
D. Local minimum: (0, 0)
Local maximum: (2?, 2?)
No inflection points
Answer: B
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