Graph the Equation $y=x^{1 / 3}\left(x^{2}-63\right)$ A) No Extrema
Inflection Point $( 0,0 )$

question 298

Multiple Choice

Graph the equation. Include the coordinates of any local and absolute extreme points and inflection points.
- $y=x^{1 / 3}\left(x^{2}-63\right)$

• A) no extrema inflection point: \(( 0,0 )\)
• B) local minimum: \(\left( \pm \sqrt { 27 } , - \frac { 27 } { 2 } \right)\) local maximum: \( (0,0) \) inflection points: \( (\pm 3,-5) \)
• C) local minimum: \( (3,-54 \sqrt[3]{3}) \) local maximum: \( (-3,54 \sqrt[3]{3}) \) inflection point: \( (0,0) \)
• D) local minimum: \( (0,0) \) no inflection points

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