Graph the Equation $= \frac { 16 x } { x ^ { 2 } + 16 }$

Multiple Choice

Graph the equation. Include the coordinates of any local and absolute extreme points and inflection points.
-y $= \frac { 16 x } { x ^ { 2 } + 16 }$

A)
local minimum: $(-4,-1)$
local maximum: $(4,1)$
inflection point: $(0,0)$


B)
local minimum: $(4,-2)$
local maximum: $(-4,2)$
inflection point: $(0,0)$



C)
local minimum: $(-4,-2)$
local maximum: $(4,2)$
inflection points: $(0,0) ,(-4 \sqrt{3},-4 \sqrt{3})$ ,
$(4 \sqrt{3}, 4 \sqrt{3})$


D)
absolute maximum: $(0,1)$
no inflection point