Sketch the Graph and Show All Local Extrema and Inflection $(0,-4)$

Multiple Choice

Sketch the graph and show all local extrema and inflection points.
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A) Local maximum $(0,-4)$
Local minimum $(\ln 5,4-6 \ln 5)$
Inflection point $\left(\frac{1}{2} \ln 5,-3 \ln 5\right)$


B) Local minimum $\left(\frac{1}{2} \ln 5,-3 \ln 5\right)$
No inflection point


C) Local maximum $(0,-4)$
Local minimum $(\ln 5,4-6 \ln 5)$
No inflection point


D) Local minimum $(2,-4)$
No inflection point