5-6 Concavity

Concave up in   $\left(-\infty,-1\right)$   

Concave down in    $\left(-\infty,-1\right)$  

Concave down in  $\left(-1,\infty\right)$  

Concave down in     $\left(-2,0\right)$  

Concave up in    $\left(-1,\infty\right)$  

Concave down in  $\left(-\infty,1\right)$  , Concave up in $\left(1,\infty\right)$  and the point of inflection at x=1.

Concave down in  $\left(-\infty,1\right)$ and $\left(1,\infty\right)$ , with no point of inflection.

Concave up in  $\left(-\infty,1\right)$ and $\left(1,\infty\right)$ , with no point of inflection.

Concave up in $\left(-\infty,\infty\right)$  with no point of inflection.

No point of inflection

Points 3 and 5

Points 1, 3, 5 and 7

Points 1, 2, 3, 4, 5, 6 and 7

Points 2, 4 and 6

Where x = 8

Where x = 4

Where x = 0

No inflection point

Where x = -8