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

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