Graph the Equation $y = \frac { x ^ { 2 } } { x ^ { 2 } + 13 }$

question 301

Multiple Choice

Graph the equation. Include the coordinates of any local and absolute extreme points and inflection points.
- $y = \frac { x ^ { 2 } } { x ^ { 2 } + 13 }$

• A) local minimum: \(\left( 0 , \frac { 1 } { 13 } \right)\) no inflection points
• B) local minimum: \(( 0,0 )\) no inflection points
• C) local minimum: \( (0,0) \) inflection points: \( \left(-\frac{\sqrt{39}}{3}, \frac{1}{4}\right),\left(\frac{\sqrt{39}}{3}, \frac{1}{4}\right) \)
• D)_local minimum: \( \left(0,-\frac{1}{13}\right) \) no inflection points

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