Determine the open intervals on which the graph of $y = - 3 x ^ { 3 } + 8 x ^ { 2 } + 8 x - 5$ is concave downward or concave upward.
A)concave downward on $( - \infty , \infty )$
B)concave downward on $\left( - \infty , \frac { 8 } { 9 } \right)$ ; concave upward on $\left( \frac { 8 } { 9 } , \infty \right)$
C)concave upward on $\left( - \infty , - \frac { 8 } { 9 } \right)$ ; concave downward on $\left( - \frac { 8 } { 9 } , \infty \right)$
D)concave downward on $\left( - \infty , - \frac { 8 } { 9 } \right)$ ; concave upward on $\left( - \frac { 8 } { 9 } , \infty \right)$
E)concave upward on $\left( - \infty , \frac { 8 } { 9 } \right)$ ; concave downward on $\left( \frac { 8 } { 9 } , \infty \right)$

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The Answer of Determine the open intervals on which the graph of $y = - 3 x ^ { 3 } + 8 x ^ { 2 } + 8 x - 5$ is concave downward or concave upward.
A)concave downward on $( - \infty , \infty )$
B)concave downward on $\left( - \infty , \frac { 8 } { 9 } \right)$ ; concave upward on $\left( \frac { 8 } { 9 } , \infty \right)$
C)concave upward on $\left( - \infty , - \frac { 8 } { 9 } \right)$ ; concave downward on $\left( - \frac { 8 } { 9 } , \infty \right)$
D)concave downward on $\left( - \infty , - \frac { 8 } { 9 } \right)$ ; concave upward on $\left( - \frac { 8 } { 9 } , \infty \right)$
E)concave upward on $\left( - \infty , \frac { 8 } { 9 } \right)$ ; concave downward on $\left( \frac { 8 } { 9 } , \infty \right)$

Determine the Open Intervals on Which the Graph Of y=−3x3+8x2+8x−5y = - 3 x ^ { 3 } + 8 x ^ { 2 } + 8 x - 5y=−3x3+8x2+8x−5

Determine the Open Intervals on Which the Graph Of $y = - 3 x ^ { 3 } + 8 x ^ { 2 } + 8 x - 5$