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

question 299

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

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